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Finding the Third Proportional to 24,209,607.38 and 51,873,029.44

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Solution

The third proportional to 24,209,607.38 and 51,873,029.44 is: 111,146,419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,209,607.38 : 51,873,029.44 = 51,873,029.44 : x
  2. Step 2: Convert to fraction form
    24,209,607.38/51,873,029.44 = 51,873,029.44/x
  3. Step 3: Cross multiply
    24,209,607.38x = 51,873,029.44 × 51,873,029.44
  4. Step 4: Simplify right side
    24,209,607.38x = 2,690,811,183,023,741.50
  5. Step 5: Solve for x
    x = 2,690,811,183,023,741.50/24,209,607.38
  6. Step 6: Final answer
    x = 111,146,419.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.