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Finding the Third Proportional to 3,031,530 and 6,459,908

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Solution

The third proportional to 3,031,530 and 6,459,908 is: 13,765,462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031,530 : 6,459,908 = 6,459,908 : x
  2. Step 2: Convert to fraction form
    3,031,530/6,459,908 = 6,459,908/x
  3. Step 3: Cross multiply
    3,031,530x = 6,459,908 × 6,459,908
  4. Step 4: Simplify right side
    3,031,530x = 41,730,411,368,464
  5. Step 5: Solve for x
    x = 41,730,411,368,464/3,031,530
  6. Step 6: Final answer
    x = 13,765,462.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.