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Finding the Third Proportional to 6,301,862 and 13,744,394

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Solution

The third proportional to 6,301,862 and 13,744,394 is: 29,976,595.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301,862 : 13,744,394 = 13,744,394 : x
  2. Step 2: Convert to fraction form
    6,301,862/13,744,394 = 13,744,394/x
  3. Step 3: Cross multiply
    6,301,862x = 13,744,394 × 13,744,394
  4. Step 4: Simplify right side
    6,301,862x = 188,908,366,427,236
  5. Step 5: Solve for x
    x = 188,908,366,427,236/6,301,862
  6. Step 6: Final answer
    x = 29,976,595.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.