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Finding the Third Proportional to 5,702,134 and 12,408,074

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Solution

The third proportional to 5,702,134 and 12,408,074 is: 27,000,470.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702,134 : 12,408,074 = 12,408,074 : x
  2. Step 2: Convert to fraction form
    5,702,134/12,408,074 = 12,408,074/x
  3. Step 3: Cross multiply
    5,702,134x = 12,408,074 × 12,408,074
  4. Step 4: Simplify right side
    5,702,134x = 153,960,300,389,476
  5. Step 5: Solve for x
    x = 153,960,300,389,476/5,702,134
  6. Step 6: Final answer
    x = 27,000,470.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.