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Finding the Third Proportional to 23,642,747 and 51,057,718

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Solution

The third proportional to 23,642,747 and 51,057,718 is: 110,261,746.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,642,747 : 51,057,718 = 51,057,718 : x
  2. Step 2: Convert to fraction form
    23,642,747/51,057,718 = 51,057,718/x
  3. Step 3: Cross multiply
    23,642,747x = 51,057,718 × 51,057,718
  4. Step 4: Simplify right side
    23,642,747x = 2,606,890,567,367,524
  5. Step 5: Solve for x
    x = 2,606,890,567,367,524/23,642,747
  6. Step 6: Final answer
    x = 110,261,746.12

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Why These Related Problems?

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