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Finding the Third Proportional to 4,652,981 and 10,224,452

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Solution

The third proportional to 4,652,981 and 10,224,452 is: 22,467,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652,981 : 10,224,452 = 10,224,452 : x
  2. Step 2: Convert to fraction form
    4,652,981/10,224,452 = 10,224,452/x
  3. Step 3: Cross multiply
    4,652,981x = 10,224,452 × 10,224,452
  4. Step 4: Simplify right side
    4,652,981x = 104,539,418,700,304
  5. Step 5: Solve for x
    x = 104,539,418,700,304/4,652,981
  6. Step 6: Final answer
    x = 22,467,192.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.