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Finding the Third Proportional to 71,724,619,792 and 156,960,585,728

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Solution

The third proportional to 71,724,619,792 and 156,960,585,728 is: 343,489,105,184.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,724,619,792 : 156,960,585,728 = 156,960,585,728 : x
  2. Step 2: Convert to fraction form
    71,724,619,792/156,960,585,728 = 156,960,585,728/x
  3. Step 3: Cross multiply
    71,724,619,792x = 156,960,585,728 × 156,960,585,728
  4. Step 4: Simplify right side
    71,724,619,792x = 24,636,625,472,076,837,289,984
  5. Step 5: Solve for x
    x = 24,636,625,472,076,837,289,984/71,724,619,792
  6. Step 6: Final answer
    x = 343,489,105,184.84

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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.