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Finding the Third Proportional to 3,123,089 and 7,523,649

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Solution

The third proportional to 3,123,089 and 7,523,649 is: 18,124,777.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123,089 : 7,523,649 = 7,523,649 : x
  2. Step 2: Convert to fraction form
    3,123,089/7,523,649 = 7,523,649/x
  3. Step 3: Cross multiply
    3,123,089x = 7,523,649 × 7,523,649
  4. Step 4: Simplify right side
    3,123,089x = 56,605,294,275,201
  5. Step 5: Solve for x
    x = 56,605,294,275,201/3,123,089
  6. Step 6: Final answer
    x = 18,124,777.83

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.