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Finding the Third Proportional to 52,140,792 and 78,882,282

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Solution

The third proportional to 52,140,792 and 78,882,282 is: 119,338,701.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,140,792 : 78,882,282 = 78,882,282 : x
  2. Step 2: Convert to fraction form
    52,140,792/78,882,282 = 78,882,282/x
  3. Step 3: Cross multiply
    52,140,792x = 78,882,282 × 78,882,282
  4. Step 4: Simplify right side
    52,140,792x = 6,222,414,413,527,524
  5. Step 5: Solve for x
    x = 6,222,414,413,527,524/52,140,792
  6. Step 6: Final answer
    x = 119,338,701.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.