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Finding the Third Proportional to 23,639,742 and 51,763,464

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Solution

The third proportional to 23,639,742 and 51,763,464 is: 113,345,408.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,639,742 : 51,763,464 = 51,763,464 : x
  2. Step 2: Convert to fraction form
    23,639,742/51,763,464 = 51,763,464/x
  3. Step 3: Cross multiply
    23,639,742x = 51,763,464 × 51,763,464
  4. Step 4: Simplify right side
    23,639,742x = 2,679,456,205,279,296
  5. Step 5: Solve for x
    x = 2,679,456,205,279,296/23,639,742
  6. Step 6: Final answer
    x = 113,345,408.14

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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.