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Finding the Third Proportional to 57,941,720 and 86,919,498

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Solution

The third proportional to 57,941,720 and 86,919,498 is: 130,389,624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,941,720 : 86,919,498 = 86,919,498 : x
  2. Step 2: Convert to fraction form
    57,941,720/86,919,498 = 86,919,498/x
  3. Step 3: Cross multiply
    57,941,720x = 86,919,498 × 86,919,498
  4. Step 4: Simplify right side
    57,941,720x = 7,554,999,132,572,004
  5. Step 5: Solve for x
    x = 7,554,999,132,572,004/57,941,720
  6. Step 6: Final answer
    x = 130,389,624.83

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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.