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Finding the Third Proportional to 4,561,732.50 and 6,377,571

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Solution

The third proportional to 4,561,732.50 and 6,377,571 is: 8,916,220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561,732.50 : 6,377,571 = 6,377,571 : x
  2. Step 2: Convert to fraction form
    4,561,732.50/6,377,571 = 6,377,571/x
  3. Step 3: Cross multiply
    4,561,732.50x = 6,377,571 × 6,377,571
  4. Step 4: Simplify right side
    4,561,732.50x = 40,673,411,860,041
  5. Step 5: Solve for x
    x = 40,673,411,860,041/4,561,732.50
  6. Step 6: Final answer
    x = 8,916,220.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.