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Finding the Third Proportional to 37,365,876 and 52,596,458

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Solution

The third proportional to 37,365,876 and 52,596,458 is: 74,035,127.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,365,876 : 52,596,458 = 52,596,458 : x
  2. Step 2: Convert to fraction form
    37,365,876/52,596,458 = 52,596,458/x
  3. Step 3: Cross multiply
    37,365,876x = 52,596,458 × 52,596,458
  4. Step 4: Simplify right side
    37,365,876x = 2,766,387,394,145,764
  5. Step 5: Solve for x
    x = 2,766,387,394,145,764/37,365,876
  6. Step 6: Final answer
    x = 74,035,127.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.