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Finding the Third Proportional to 71,724,619,781 and 156,960,585,717

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Solution

The third proportional to 71,724,619,781 and 156,960,585,717 is: 343,489,105,189.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,724,619,781 : 156,960,585,717 = 156,960,585,717 : x
  2. Step 2: Convert to fraction form
    71,724,619,781/156,960,585,717 = 156,960,585,717/x
  3. Step 3: Cross multiply
    71,724,619,781x = 156,960,585,717 × 156,960,585,717
  4. Step 4: Simplify right side
    71,724,619,781x = 24,636,625,468,623,704,555,520
  5. Step 5: Solve for x
    x = 24,636,625,468,623,704,555,520/71,724,619,781
  6. Step 6: Final answer
    x = 343,489,105,189.37

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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.