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Finding the Third Proportional to 4,737,214.50 and 10,418,996.63

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Solution

The third proportional to 4,737,214.50 and 10,418,996.63 is: 22,915,468.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737,214.50 : 10,418,996.63 = 10,418,996.63 : x
  2. Step 2: Convert to fraction form
    4,737,214.50/10,418,996.63 = 10,418,996.63/x
  3. Step 3: Cross multiply
    4,737,214.50x = 10,418,996.63 × 10,418,996.63
  4. Step 4: Simplify right side
    4,737,214.50x = 108,555,490,671,761.39
  5. Step 5: Solve for x
    x = 108,555,490,671,761.39/4,737,214.50
  6. Step 6: Final answer
    x = 22,915,468.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.