Finding the Third Proportional to 146,480,770,560 and 316,378,742,784
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Solution
The third proportional to 146,480,770,560 and 316,378,742,784 is: 683,335,488,357.39
Step by Step Solution
- Step 1: Write the proportion equation
146,480,770,560 : 316,378,742,784 = 316,378,742,784 : x - Step 2: Convert to fraction form
146,480,770,560/316,378,742,784 = 316,378,742,784/x - Step 3: Cross multiply
146,480,770,560x = 316,378,742,784 × 316,378,742,784 - Step 4: Simplify right side
146,480,770,560x = 100,095,508,885,584,432,070,656 - Step 5: Solve for x
x = 100,095,508,885,584,432,070,656/146,480,770,560 - Step 6: Final answer
x = 683,335,488,357.39
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.