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Finding the Third Proportional to 71,724,619,790 and 156,960,585,724

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Solution

The third proportional to 71,724,619,790 and 156,960,585,724 is: 343,489,105,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,724,619,790 : 156,960,585,724 = 156,960,585,724 : x
  2. Step 2: Convert to fraction form
    71,724,619,790/156,960,585,724 = 156,960,585,724/x
  3. Step 3: Cross multiply
    71,724,619,790x = 156,960,585,724 × 156,960,585,724
  4. Step 4: Simplify right side
    71,724,619,790x = 24,636,625,470,821,150,752,768
  5. Step 5: Solve for x
    x = 24,636,625,470,821,150,752,768/71,724,619,790
  6. Step 6: Final answer
    x = 343,489,105,176.91

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