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Finding the Third Proportional to 215,654,969 and 472,359,827

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Solution

The third proportional to 215,654,969 and 472,359,827 is: 1,034,633,271.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,654,969 : 472,359,827 = 472,359,827 : x
  2. Step 2: Convert to fraction form
    215,654,969/472,359,827 = 472,359,827/x
  3. Step 3: Cross multiply
    215,654,969x = 472,359,827 × 472,359,827
  4. Step 4: Simplify right side
    215,654,969x = 223,123,806,163,469,920
  5. Step 5: Solve for x
    x = 223,123,806,163,469,920/215,654,969
  6. Step 6: Final answer
    x = 1,034,633,271.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.