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Finding the Third Proportional to 6,471,062 and 10,301,720

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Solution

The third proportional to 6,471,062 and 10,301,720 is: 16,400,002.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471,062 : 10,301,720 = 10,301,720 : x
  2. Step 2: Convert to fraction form
    6,471,062/10,301,720 = 10,301,720/x
  3. Step 3: Cross multiply
    6,471,062x = 10,301,720 × 10,301,720
  4. Step 4: Simplify right side
    6,471,062x = 106,125,434,958,400
  5. Step 5: Solve for x
    x = 106,125,434,958,400/6,471,062
  6. Step 6: Final answer
    x = 16,400,002.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.