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Finding the Third Proportional to 71,724,619,782 and 156,960,585,708

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Solution

The third proportional to 71,724,619,782 and 156,960,585,708 is: 343,489,105,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,724,619,782 : 156,960,585,708 = 156,960,585,708 : x
  2. Step 2: Convert to fraction form
    71,724,619,782/156,960,585,708 = 156,960,585,708/x
  3. Step 3: Cross multiply
    71,724,619,782x = 156,960,585,708 × 156,960,585,708
  4. Step 4: Simplify right side
    71,724,619,782x = 24,636,625,465,798,412,992,512
  5. Step 5: Solve for x
    x = 24,636,625,465,798,412,992,512/71,724,619,782
  6. Step 6: Final answer
    x = 343,489,105,145.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.