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Finding the Third Proportional to 3,466,211 and 7,480,464

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Solution

The third proportional to 3,466,211 and 7,480,464 is: 16,143,662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466,211 : 7,480,464 = 7,480,464 : x
  2. Step 2: Convert to fraction form
    3,466,211/7,480,464 = 7,480,464/x
  3. Step 3: Cross multiply
    3,466,211x = 7,480,464 × 7,480,464
  4. Step 4: Simplify right side
    3,466,211x = 55,957,341,655,296
  5. Step 5: Solve for x
    x = 55,957,341,655,296/3,466,211
  6. Step 6: Final answer
    x = 16,143,662.82

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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.