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Finding the Third Proportional to 4,755,686 and 10,307,948

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Solution

The third proportional to 4,755,686 and 10,307,948 is: 22,342,474.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755,686 : 10,307,948 = 10,307,948 : x
  2. Step 2: Convert to fraction form
    4,755,686/10,307,948 = 10,307,948/x
  3. Step 3: Cross multiply
    4,755,686x = 10,307,948 × 10,307,948
  4. Step 4: Simplify right side
    4,755,686x = 106,253,791,970,704
  5. Step 5: Solve for x
    x = 106,253,791,970,704/4,755,686
  6. Step 6: Final answer
    x = 22,342,474.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.