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Finding the Third Proportional to 6,372,864 and 9,566,208

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Solution

The third proportional to 6,372,864 and 9,566,208 is: 14,359,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,372,864 : 9,566,208 = 9,566,208 : x
  2. Step 2: Convert to fraction form
    6,372,864/9,566,208 = 9,566,208/x
  3. Step 3: Cross multiply
    6,372,864x = 9,566,208 × 9,566,208
  4. Step 4: Simplify right side
    6,372,864x = 91,512,335,499,264
  5. Step 5: Solve for x
    x = 91,512,335,499,264/6,372,864
  6. Step 6: Final answer
    x = 14,359,687.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.