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Finding the Third Proportional to 52,501,032 and 75,629,787.50

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Solution

The third proportional to 52,501,032 and 75,629,787.50 is: 108,947,663.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,501,032 : 75,629,787.50 = 75,629,787.50 : x
  2. Step 2: Convert to fraction form
    52,501,032/75,629,787.50 = 75,629,787.50/x
  3. Step 3: Cross multiply
    52,501,032x = 75,629,787.50 × 75,629,787.50
  4. Step 4: Simplify right side
    52,501,032x = 5,719,864,757,295,156
  5. Step 5: Solve for x
    x = 5,719,864,757,295,156/52,501,032
  6. Step 6: Final answer
    x = 108,947,663.30

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.