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Finding the Third Proportional to 32,542,562 and 49,233,747

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Solution

The third proportional to 32,542,562 and 49,233,747 is: 74,485,894.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,542,562 : 49,233,747 = 49,233,747 : x
  2. Step 2: Convert to fraction form
    32,542,562/49,233,747 = 49,233,747/x
  3. Step 3: Cross multiply
    32,542,562x = 49,233,747 × 49,233,747
  4. Step 4: Simplify right side
    32,542,562x = 2,423,961,843,660,009
  5. Step 5: Solve for x
    x = 2,423,961,843,660,009/32,542,562
  6. Step 6: Final answer
    x = 74,485,894.62

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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.