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Finding the Third Proportional to 6,147,282 and 13,241,508

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Solution

The third proportional to 6,147,282 and 13,241,508 is: 28,522,773.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147,282 : 13,241,508 = 13,241,508 : x
  2. Step 2: Convert to fraction form
    6,147,282/13,241,508 = 13,241,508/x
  3. Step 3: Cross multiply
    6,147,282x = 13,241,508 × 13,241,508
  4. Step 4: Simplify right side
    6,147,282x = 175,337,534,114,064
  5. Step 5: Solve for x
    x = 175,337,534,114,064/6,147,282
  6. Step 6: Final answer
    x = 28,522,773.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.