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Finding the Third Proportional to 23,882,949 and 52,237,470

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Solution

The third proportional to 23,882,949 and 52,237,470 is: 114,255,290.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,882,949 : 52,237,470 = 52,237,470 : x
  2. Step 2: Convert to fraction form
    23,882,949/52,237,470 = 52,237,470/x
  3. Step 3: Cross multiply
    23,882,949x = 52,237,470 × 52,237,470
  4. Step 4: Simplify right side
    23,882,949x = 2,728,753,272,000,900
  5. Step 5: Solve for x
    x = 2,728,753,272,000,900/23,882,949
  6. Step 6: Final answer
    x = 114,255,290.33

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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.