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Finding the Third Proportional to 7,815,753 and 16,471,314

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Solution

The third proportional to 7,815,753 and 16,471,314 is: 34,712,481.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815,753 : 16,471,314 = 16,471,314 : x
  2. Step 2: Convert to fraction form
    7,815,753/16,471,314 = 16,471,314/x
  3. Step 3: Cross multiply
    7,815,753x = 16,471,314 × 16,471,314
  4. Step 4: Simplify right side
    7,815,753x = 271,304,184,886,596
  5. Step 5: Solve for x
    x = 271,304,184,886,596/7,815,753
  6. Step 6: Final answer
    x = 34,712,481.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.