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Finding the Third Proportional to 7,900,098 and 16,998,996

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Solution

The third proportional to 7,900,098 and 16,998,996 is: 36,577,503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900,098 : 16,998,996 = 16,998,996 : x
  2. Step 2: Convert to fraction form
    7,900,098/16,998,996 = 16,998,996/x
  3. Step 3: Cross multiply
    7,900,098x = 16,998,996 × 16,998,996
  4. Step 4: Simplify right side
    7,900,098x = 288,965,865,008,016
  5. Step 5: Solve for x
    x = 288,965,865,008,016/7,900,098
  6. Step 6: Final answer
    x = 36,577,503.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.