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Finding the Third Proportional to 71,724,619,808 and 156,960,585,760

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Solution

The third proportional to 71,724,619,808 and 156,960,585,760 is: 343,489,105,248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,724,619,808 : 156,960,585,760 = 156,960,585,760 : x
  2. Step 2: Convert to fraction form
    71,724,619,808/156,960,585,760 = 156,960,585,760/x
  3. Step 3: Cross multiply
    71,724,619,808x = 156,960,585,760 × 156,960,585,760
  4. Step 4: Simplify right side
    71,724,619,808x = 24,636,625,482,122,312,810,496
  5. Step 5: Solve for x
    x = 24,636,625,482,122,312,810,496/71,724,619,808
  6. Step 6: Final answer
    x = 343,489,105,248.27

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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.