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Finding the Third Proportional to 4,205,649 and 6,301,477.13

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Solution

The third proportional to 4,205,649 and 6,301,477.13 is: 9,441,732.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205,649 : 6,301,477.13 = 6,301,477.13 : x
  2. Step 2: Convert to fraction form
    4,205,649/6,301,477.13 = 6,301,477.13/x
  3. Step 3: Cross multiply
    4,205,649x = 6,301,477.13 × 6,301,477.13
  4. Step 4: Simplify right side
    4,205,649x = 39,708,613,956,898.27
  5. Step 5: Solve for x
    x = 39,708,613,956,898.27/4,205,649
  6. Step 6: Final answer
    x = 9,441,732.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.