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Finding the Third Proportional to 6,395,562.56 and 9,840,363.47

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Solution

The third proportional to 6,395,562.56 and 9,840,363.47 is: 15,140,615.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395,562.56 : 9,840,363.47 = 9,840,363.47 : x
  2. Step 2: Convert to fraction form
    6,395,562.56/9,840,363.47 = 9,840,363.47/x
  3. Step 3: Cross multiply
    6,395,562.56x = 9,840,363.47 × 9,840,363.47
  4. Step 4: Simplify right side
    6,395,562.56x = 96,832,753,197,109.53
  5. Step 5: Solve for x
    x = 96,832,753,197,109.53/6,395,562.56
  6. Step 6: Final answer
    x = 15,140,615.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.