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Finding the Third Proportional to 3,466,214 and 7,480,470

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Solution

The third proportional to 3,466,214 and 7,480,470 is: 16,143,674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466,214 : 7,480,470 = 7,480,470 : x
  2. Step 2: Convert to fraction form
    3,466,214/7,480,470 = 7,480,470/x
  3. Step 3: Cross multiply
    3,466,214x = 7,480,470 × 7,480,470
  4. Step 4: Simplify right side
    3,466,214x = 55,957,431,420,900
  5. Step 5: Solve for x
    x = 55,957,431,420,900/3,466,214
  6. Step 6: Final answer
    x = 16,143,674.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.