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Finding the Third Proportional to 6,419,340 and 13,849,812

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Solution

The third proportional to 6,419,340 and 13,849,812 is: 29,881,154.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419,340 : 13,849,812 = 13,849,812 : x
  2. Step 2: Convert to fraction form
    6,419,340/13,849,812 = 13,849,812/x
  3. Step 3: Cross multiply
    6,419,340x = 13,849,812 × 13,849,812
  4. Step 4: Simplify right side
    6,419,340x = 191,817,292,435,344
  5. Step 5: Solve for x
    x = 191,817,292,435,344/6,419,340
  6. Step 6: Final answer
    x = 29,881,154.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.