Convert light-year to yin(引)

Learn how to convert 1 light-year to yin(引) step by step.

Calculation Breakdown

Set up the equation

1.0 (l i g h t - y e a r) = x (y i n (引))

Define the base values of the selected units in relation to the SI unit

(m e t e r)

Left side: 1.0 (l i g h t - y e a r) = 9.4607304725808 \times 10^{15} (m e t e r) = 9.4607304725808 \times 10^{15} (m)

Right side: 1.0 (y i n (引)) = \frac{10^{2}}{3.0} (m e t e r) = \frac{10^{2}}{3.0} (m)

Insert known values into the conversion equation to determine

x

1.0 (l i g h t - y e a r) = x (y i n (引))

Insert known values =>

1.0 \times 9.4607304725808 \times 10^{15} \times (m e t e r) = x \times \frac{10^{2}}{3.0} \times (m e t e r)

Or

1.0 \cdot 9.4607304725808 \times 10^{15} \cdot (m) = x \cdot \frac{10^{2}}{3.0} \cdot (m)

Cancel SI units

1.0 \times 9.4607304725808 \times 10^{15} \cdot (m) = x \times \frac{10^{2}}{3.0} \times (m)

Conversion Equation

9.4607304725808 \times 10^{15} = x \times \frac{10^{2}}{3.0}

Cancel factors on both sides

Cancel factors

9.4607304725808 \times {10^{15}}^{10^{13}} = x \times \frac{10^{2}}{3.0}

Switch sides

x \times \frac{1.0}{3.0} = 9.4607304725808 \times 10^{13}

Isolate

x

Multiply both sides by

(\frac{3.0}{1.0})

x \times \frac{1.0}{3.0} \times \frac{3.0}{1.0} = 9.4607304725808 \times 10^{13} \times \frac{3.0}{1.0}

Cancel

x \times \frac{1.0 \times 3.0}{3.0 \times 1.0} = 9.4607304725808 \times 10^{13} \times \frac{3.0}{1.0}

Simplify

x = 9.4607304725808 \times 10^{13} \times 3.0

Solve

x

x \approx 2.8382191418 \times 10^{14} \approx 2.8382 \times 10^{14}

Conversion Equation

1.0 (l i g h t - y e a r) \approx 2.8382 \times 10^{14} (y i n (引))

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