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Finding the Third Proportional to 267,496,728.75 and 542,514,856.50

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Solution

The third proportional to 267,496,728.75 and 542,514,856.50 is: 1,100,283,995.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,496,728.75 : 542,514,856.50 = 542,514,856.50 : x
  2. Step 2: Convert to fraction form
    267,496,728.75/542,514,856.50 = 542,514,856.50/x
  3. Step 3: Cross multiply
    267,496,728.75x = 542,514,856.50 × 542,514,856.50
  4. Step 4: Simplify right side
    267,496,728.75x = 294,322,369,523,215,616
  5. Step 5: Solve for x
    x = 294,322,369,523,215,616/267,496,728.75
  6. Step 6: Final answer
    x = 1,100,283,995.62

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.