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Finding the Third Proportional to 5,470,918 and 12,665,255

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Solution

The third proportional to 5,470,918 and 12,665,255 is: 29,320,250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470,918 : 12,665,255 = 12,665,255 : x
  2. Step 2: Convert to fraction form
    5,470,918/12,665,255 = 12,665,255/x
  3. Step 3: Cross multiply
    5,470,918x = 12,665,255 × 12,665,255
  4. Step 4: Simplify right side
    5,470,918x = 160,408,684,215,025
  5. Step 5: Solve for x
    x = 160,408,684,215,025/5,470,918
  6. Step 6: Final answer
    x = 29,320,250.13

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.