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Finding the Third Proportional to 4,730,418 and 10,376,451

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Solution

The third proportional to 4,730,418 and 10,376,451 is: 22,761,357.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,730,418 : 10,376,451 = 10,376,451 : x
  2. Step 2: Convert to fraction form
    4,730,418/10,376,451 = 10,376,451/x
  3. Step 3: Cross multiply
    4,730,418x = 10,376,451 × 10,376,451
  4. Step 4: Simplify right side
    4,730,418x = 107,670,735,355,401
  5. Step 5: Solve for x
    x = 107,670,735,355,401/4,730,418
  6. Step 6: Final answer
    x = 22,761,357.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.