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Finding the Third Proportional to 71,724,619,693 and 156,960,585,526

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Solution

The third proportional to 71,724,619,693 and 156,960,585,526 is: 343,489,104,774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,724,619,693 : 156,960,585,526 = 156,960,585,526 : x
  2. Step 2: Convert to fraction form
    71,724,619,693/156,960,585,526 = 156,960,585,526/x
  3. Step 3: Cross multiply
    71,724,619,693x = 156,960,585,526 × 156,960,585,526
  4. Step 4: Simplify right side
    71,724,619,693x = 24,636,625,408,664,761,532,416
  5. Step 5: Solve for x
    x = 24,636,625,408,664,761,532,416/71,724,619,693
  6. Step 6: Final answer
    x = 343,489,104,774.85

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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.