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Finding the Third Proportional to 454,869,471 and 650,019,012

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Solution

The third proportional to 454,869,471 and 650,019,012 is: 928,892,227.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,869,471 : 650,019,012 = 650,019,012 : x
  2. Step 2: Convert to fraction form
    454,869,471/650,019,012 = 650,019,012/x
  3. Step 3: Cross multiply
    454,869,471x = 650,019,012 × 650,019,012
  4. Step 4: Simplify right side
    454,869,471x = 422,524,715,961,456,128
  5. Step 5: Solve for x
    x = 422,524,715,961,456,128/454,869,471
  6. Step 6: Final answer
    x = 928,892,227.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.