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Finding the Third Proportional to 82,270,792 and 120,377,737

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Solution

The third proportional to 82,270,792 and 120,377,737 is: 176,135,408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,270,792 : 120,377,737 = 120,377,737 : x
  2. Step 2: Convert to fraction form
    82,270,792/120,377,737 = 120,377,737/x
  3. Step 3: Cross multiply
    82,270,792x = 120,377,737 × 120,377,737
  4. Step 4: Simplify right side
    82,270,792x = 14,490,799,565,241,168
  5. Step 5: Solve for x
    x = 14,490,799,565,241,168/82,270,792
  6. Step 6: Final answer
    x = 176,135,408.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.