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Finding the Third Proportional to 4,152,843.50 and 6,499,753

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Solution

The third proportional to 4,152,843.50 and 6,499,753 is: 10,172,978.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152,843.50 : 6,499,753 = 6,499,753 : x
  2. Step 2: Convert to fraction form
    4,152,843.50/6,499,753 = 6,499,753/x
  3. Step 3: Cross multiply
    4,152,843.50x = 6,499,753 × 6,499,753
  4. Step 4: Simplify right side
    4,152,843.50x = 42,246,789,061,009
  5. Step 5: Solve for x
    x = 42,246,789,061,009/4,152,843.50
  6. Step 6: Final answer
    x = 10,172,978.84

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.