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Finding the Third Proportional to 35,086,540.50 and 54,000,006.75

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Solution

The third proportional to 35,086,540.50 and 54,000,006.75 is: 83,108,812.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,086,540.50 : 54,000,006.75 = 54,000,006.75 : x
  2. Step 2: Convert to fraction form
    35,086,540.50/54,000,006.75 = 54,000,006.75/x
  3. Step 3: Cross multiply
    35,086,540.50x = 54,000,006.75 × 54,000,006.75
  4. Step 4: Simplify right side
    35,086,540.50x = 2,916,000,729,000,045.50
  5. Step 5: Solve for x
    x = 2,916,000,729,000,045.50/35,086,540.50
  6. Step 6: Final answer
    x = 83,108,812.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.