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Finding the Third Proportional to 3,031,396 and 6,482,948

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Solution

The third proportional to 3,031,396 and 6,482,948 is: 13,864,442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031,396 : 6,482,948 = 6,482,948 : x
  2. Step 2: Convert to fraction form
    3,031,396/6,482,948 = 6,482,948/x
  3. Step 3: Cross multiply
    3,031,396x = 6,482,948 × 6,482,948
  4. Step 4: Simplify right side
    3,031,396x = 42,028,614,770,704
  5. Step 5: Solve for x
    x = 42,028,614,770,704/3,031,396
  6. Step 6: Final answer
    x = 13,864,442.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.