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Finding the Third Proportional to 4,632,627 and 6,985,395

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Solution

The third proportional to 4,632,627 and 6,985,395 is: 10,533,061.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632,627 : 6,985,395 = 6,985,395 : x
  2. Step 2: Convert to fraction form
    4,632,627/6,985,395 = 6,985,395/x
  3. Step 3: Cross multiply
    4,632,627x = 6,985,395 × 6,985,395
  4. Step 4: Simplify right side
    4,632,627x = 48,795,743,306,025
  5. Step 5: Solve for x
    x = 48,795,743,306,025/4,632,627
  6. Step 6: Final answer
    x = 10,533,061.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.