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Finding the Third Proportional to 24,731,574 and 52,749,948

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Solution

The third proportional to 24,731,574 and 52,749,948 is: 112,510,308.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,731,574 : 52,749,948 = 52,749,948 : x
  2. Step 2: Convert to fraction form
    24,731,574/52,749,948 = 52,749,948/x
  3. Step 3: Cross multiply
    24,731,574x = 52,749,948 × 52,749,948
  4. Step 4: Simplify right side
    24,731,574x = 2,782,557,014,002,704
  5. Step 5: Solve for x
    x = 2,782,557,014,002,704/24,731,574
  6. Step 6: Final answer
    x = 112,510,308.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.