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Finding the Third Proportional to 49,735,410 and 107,029,092

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Solution

The third proportional to 49,735,410 and 107,029,092 is: 230,323,355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,735,410 : 107,029,092 = 107,029,092 : x
  2. Step 2: Convert to fraction form
    49,735,410/107,029,092 = 107,029,092/x
  3. Step 3: Cross multiply
    49,735,410x = 107,029,092 × 107,029,092
  4. Step 4: Simplify right side
    49,735,410x = 11,455,226,534,344,464
  5. Step 5: Solve for x
    x = 11,455,226,534,344,464/49,735,410
  6. Step 6: Final answer
    x = 230,323,355.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.