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Finding the Third Proportional to 6,917,420.25 and 9,853,984.13

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Solution

The third proportional to 6,917,420.25 and 9,853,984.13 is: 14,037,169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917,420.25 : 9,853,984.13 = 9,853,984.13 : x
  2. Step 2: Convert to fraction form
    6,917,420.25/9,853,984.13 = 9,853,984.13/x
  3. Step 3: Cross multiply
    6,917,420.25x = 9,853,984.13 × 9,853,984.13
  4. Step 4: Simplify right side
    6,917,420.25x = 97,101,003,135,752.02
  5. Step 5: Solve for x
    x = 97,101,003,135,752.02/6,917,420.25
  6. Step 6: Final answer
    x = 14,037,169.87

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.