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Finding the Third Proportional to 6,656,523,910.03 and 14,644,329,319.97

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Solution

The third proportional to 6,656,523,910.03 and 14,644,329,319.97 is: 32,217,473,283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656,523,910.03 : 14,644,329,319.97 = 14,644,329,319.97 : x
  2. Step 2: Convert to fraction form
    6,656,523,910.03/14,644,329,319.97 = 14,644,329,319.97/x
  3. Step 3: Cross multiply
    6,656,523,910.03x = 14,644,329,319.97 × 14,644,329,319.97
  4. Step 4: Simplify right side
    6,656,523,910.03x = 214,456,381,231,703,719,936
  5. Step 5: Solve for x
    x = 214,456,381,231,703,719,936/6,656,523,910.03
  6. Step 6: Final answer
    x = 32,217,473,283.39

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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.