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Finding the Third Proportional to 49,443,971.25 and 72,737,025

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Solution

The third proportional to 49,443,971.25 and 72,737,025 is: 107,003,435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,443,971.25 : 72,737,025 = 72,737,025 : x
  2. Step 2: Convert to fraction form
    49,443,971.25/72,737,025 = 72,737,025/x
  3. Step 3: Cross multiply
    49,443,971.25x = 72,737,025 × 72,737,025
  4. Step 4: Simplify right side
    49,443,971.25x = 5,290,674,805,850,625
  5. Step 5: Solve for x
    x = 5,290,674,805,850,625/49,443,971.25
  6. Step 6: Final answer
    x = 107,003,435.85

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.