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Finding the Third Proportional to 542,433,224 and 1,177,337,092

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Solution

The third proportional to 542,433,224 and 1,177,337,092 is: 2,555,379,292.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,433,224 : 1,177,337,092 = 1,177,337,092 : x
  2. Step 2: Convert to fraction form
    542,433,224/1,177,337,092 = 1,177,337,092/x
  3. Step 3: Cross multiply
    542,433,224x = 1,177,337,092 × 1,177,337,092
  4. Step 4: Simplify right side
    542,433,224x = 1,386,122,628,199,016,448
  5. Step 5: Solve for x
    x = 1,386,122,628,199,016,448/542,433,224
  6. Step 6: Final answer
    x = 2,555,379,292.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.