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Finding the Third Proportional to 6,018,966 and 13,416,449

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Solution

The third proportional to 6,018,966 and 13,416,449 is: 29,905,652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,018,966 : 13,416,449 = 13,416,449 : x
  2. Step 2: Convert to fraction form
    6,018,966/13,416,449 = 13,416,449/x
  3. Step 3: Cross multiply
    6,018,966x = 13,416,449 × 13,416,449
  4. Step 4: Simplify right side
    6,018,966x = 180,001,103,769,601
  5. Step 5: Solve for x
    x = 180,001,103,769,601/6,018,966
  6. Step 6: Final answer
    x = 29,905,652.20

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.