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Finding the Third Proportional to 6,404,125 and 13,723,510

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Solution

The third proportional to 6,404,125 and 13,723,510 is: 29,408,346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404,125 : 13,723,510 = 13,723,510 : x
  2. Step 2: Convert to fraction form
    6,404,125/13,723,510 = 13,723,510/x
  3. Step 3: Cross multiply
    6,404,125x = 13,723,510 × 13,723,510
  4. Step 4: Simplify right side
    6,404,125x = 188,334,726,720,100
  5. Step 5: Solve for x
    x = 188,334,726,720,100/6,404,125
  6. Step 6: Final answer
    x = 29,408,346.45

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