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Finding the Third Proportional to 77,600,592 and 107,896,374

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Solution

The third proportional to 77,600,592 and 107,896,374 is: 150,019,828.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,600,592 : 107,896,374 = 107,896,374 : x
  2. Step 2: Convert to fraction form
    77,600,592/107,896,374 = 107,896,374/x
  3. Step 3: Cross multiply
    77,600,592x = 107,896,374 × 107,896,374
  4. Step 4: Simplify right side
    77,600,592x = 11,641,627,522,347,876
  5. Step 5: Solve for x
    x = 11,641,627,522,347,876/77,600,592
  6. Step 6: Final answer
    x = 150,019,828.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.