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Finding the Third Proportional to 11,385,824 and 24,793,260

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Solution

The third proportional to 11,385,824 and 24,793,260 is: 53,988,691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385,824 : 24,793,260 = 24,793,260 : x
  2. Step 2: Convert to fraction form
    11,385,824/24,793,260 = 24,793,260/x
  3. Step 3: Cross multiply
    11,385,824x = 24,793,260 × 24,793,260
  4. Step 4: Simplify right side
    11,385,824x = 614,705,741,427,600
  5. Step 5: Solve for x
    x = 614,705,741,427,600/11,385,824
  6. Step 6: Final answer
    x = 53,988,691.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.