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Finding the Third Proportional to 3,466,212 and 7,480,466

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Solution

The third proportional to 3,466,212 and 7,480,466 is: 16,143,666.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466,212 : 7,480,466 = 7,480,466 : x
  2. Step 2: Convert to fraction form
    3,466,212/7,480,466 = 7,480,466/x
  3. Step 3: Cross multiply
    3,466,212x = 7,480,466 × 7,480,466
  4. Step 4: Simplify right side
    3,466,212x = 55,957,371,577,156
  5. Step 5: Solve for x
    x = 55,957,371,577,156/3,466,212
  6. Step 6: Final answer
    x = 16,143,666.80

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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.