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Finding the Third Proportional to 3,899,439.42 and 8,415,433.13

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Solution

The third proportional to 3,899,439.42 and 8,415,433.13 is: 18,161,460.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899,439.42 : 8,415,433.13 = 8,415,433.13 : x
  2. Step 2: Convert to fraction form
    3,899,439.42/8,415,433.13 = 8,415,433.13/x
  3. Step 3: Cross multiply
    3,899,439.42x = 8,415,433.13 × 8,415,433.13
  4. Step 4: Simplify right side
    3,899,439.42x = 70,819,514,681,347.27
  5. Step 5: Solve for x
    x = 70,819,514,681,347.27/3,899,439.42
  6. Step 6: Final answer
    x = 18,161,460.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.