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Finding the Third Proportional to 13,812,120 and 21,619,872

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Solution

The third proportional to 13,812,120 and 21,619,872 is: 33,841,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812,120 : 21,619,872 = 21,619,872 : x
  2. Step 2: Convert to fraction form
    13,812,120/21,619,872 = 21,619,872/x
  3. Step 3: Cross multiply
    13,812,120x = 21,619,872 × 21,619,872
  4. Step 4: Simplify right side
    13,812,120x = 467,418,865,296,384
  5. Step 5: Solve for x
    x = 467,418,865,296,384/13,812,120
  6. Step 6: Final answer
    x = 33,841,210.86

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.