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Finding the Third Proportional to 13,705,408 and 30,474,470

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Solution

The third proportional to 13,705,408 and 30,474,470 is: 67,761,085.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705,408 : 30,474,470 = 30,474,470 : x
  2. Step 2: Convert to fraction form
    13,705,408/30,474,470 = 30,474,470/x
  3. Step 3: Cross multiply
    13,705,408x = 30,474,470 × 30,474,470
  4. Step 4: Simplify right side
    13,705,408x = 928,693,321,780,900
  5. Step 5: Solve for x
    x = 928,693,321,780,900/13,705,408
  6. Step 6: Final answer
    x = 67,761,085.39

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.