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Finding the Third Proportional to 6,499,670 and 14,084,092

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Solution

The third proportional to 6,499,670 and 14,084,092 is: 30,518,725.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499,670 : 14,084,092 = 14,084,092 : x
  2. Step 2: Convert to fraction form
    6,499,670/14,084,092 = 14,084,092/x
  3. Step 3: Cross multiply
    6,499,670x = 14,084,092 × 14,084,092
  4. Step 4: Simplify right side
    6,499,670x = 198,361,647,464,464
  5. Step 5: Solve for x
    x = 198,361,647,464,464/6,499,670
  6. Step 6: Final answer
    x = 30,518,725.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.