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Finding the Third Proportional to 32,029,837.50 and 75,578,634

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Solution

The third proportional to 32,029,837.50 and 75,578,634 is: 178,337,773.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,029,837.50 : 75,578,634 = 75,578,634 : x
  2. Step 2: Convert to fraction form
    32,029,837.50/75,578,634 = 75,578,634/x
  3. Step 3: Cross multiply
    32,029,837.50x = 75,578,634 × 75,578,634
  4. Step 4: Simplify right side
    32,029,837.50x = 5,712,129,917,305,956
  5. Step 5: Solve for x
    x = 5,712,129,917,305,956/32,029,837.50
  6. Step 6: Final answer
    x = 178,337,773.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.