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Finding the Third Proportional to 24,608,974.50 and 53,857,287

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Solution

The third proportional to 24,608,974.50 and 53,857,287 is: 117,867,868.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,608,974.50 : 53,857,287 = 53,857,287 : x
  2. Step 2: Convert to fraction form
    24,608,974.50/53,857,287 = 53,857,287/x
  3. Step 3: Cross multiply
    24,608,974.50x = 53,857,287 × 53,857,287
  4. Step 4: Simplify right side
    24,608,974.50x = 2,900,607,363,000,369
  5. Step 5: Solve for x
    x = 2,900,607,363,000,369/24,608,974.50
  6. Step 6: Final answer
    x = 117,867,868.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.