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Finding the Third Proportional to 52,031,860 and 77,293,518

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Solution

The third proportional to 52,031,860 and 77,293,518 is: 114,819,803.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,031,860 : 77,293,518 = 77,293,518 : x
  2. Step 2: Convert to fraction form
    52,031,860/77,293,518 = 77,293,518/x
  3. Step 3: Cross multiply
    52,031,860x = 77,293,518 × 77,293,518
  4. Step 4: Simplify right side
    52,031,860x = 5,974,287,924,816,324
  5. Step 5: Solve for x
    x = 5,974,287,924,816,324/52,031,860
  6. Step 6: Final answer
    x = 114,819,803.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.