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Finding the Third Proportional to 71,724,619,775 and 156,960,585,706

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Solution

The third proportional to 71,724,619,775 and 156,960,585,706 is: 343,489,105,169.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,724,619,775 : 156,960,585,706 = 156,960,585,706 : x
  2. Step 2: Convert to fraction form
    71,724,619,775/156,960,585,706 = 156,960,585,706/x
  3. Step 3: Cross multiply
    71,724,619,775x = 156,960,585,706 × 156,960,585,706
  4. Step 4: Simplify right side
    71,724,619,775x = 24,636,625,465,170,571,821,056
  5. Step 5: Solve for x
    x = 24,636,625,465,170,571,821,056/71,724,619,775
  6. Step 6: Final answer
    x = 343,489,105,169.96

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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.