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Finding the Third Proportional to 23,642,759 and 51,057,742

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Solution

The third proportional to 23,642,759 and 51,057,742 is: 110,261,793.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,642,759 : 51,057,742 = 51,057,742 : x
  2. Step 2: Convert to fraction form
    23,642,759/51,057,742 = 51,057,742/x
  3. Step 3: Cross multiply
    23,642,759x = 51,057,742 × 51,057,742
  4. Step 4: Simplify right side
    23,642,759x = 2,606,893,018,138,564
  5. Step 5: Solve for x
    x = 2,606,893,018,138,564/23,642,759
  6. Step 6: Final answer
    x = 110,261,793.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.