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Finding the Third Proportional to 24,706,086 and 35,641,791

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Solution

The third proportional to 24,706,086 and 35,641,791 is: 51,417,989.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,706,086 : 35,641,791 = 35,641,791 : x
  2. Step 2: Convert to fraction form
    24,706,086/35,641,791 = 35,641,791/x
  3. Step 3: Cross multiply
    24,706,086x = 35,641,791 × 35,641,791
  4. Step 4: Simplify right side
    24,706,086x = 1,270,337,265,687,681
  5. Step 5: Solve for x
    x = 1,270,337,265,687,681/24,706,086
  6. Step 6: Final answer
    x = 51,417,989.30

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.