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Finding the Third Proportional to 24,711,506 and 51,468,367

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Solution

The third proportional to 24,711,506 and 51,468,367 is: 107,196,736.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,711,506 : 51,468,367 = 51,468,367 : x
  2. Step 2: Convert to fraction form
    24,711,506/51,468,367 = 51,468,367/x
  3. Step 3: Cross multiply
    24,711,506x = 51,468,367 × 51,468,367
  4. Step 4: Simplify right side
    24,711,506x = 2,648,992,801,646,689
  5. Step 5: Solve for x
    x = 2,648,992,801,646,689/24,711,506
  6. Step 6: Final answer
    x = 107,196,736.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.