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Finding the Third Proportional to 35,382,031.88 and 75,682,474.88

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Solution

The third proportional to 35,382,031.88 and 75,682,474.88 is: 161,885,474.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,382,031.88 : 75,682,474.88 = 75,682,474.88 : x
  2. Step 2: Convert to fraction form
    35,382,031.88/75,682,474.88 = 75,682,474.88/x
  3. Step 3: Cross multiply
    35,382,031.88x = 75,682,474.88 × 75,682,474.88
  4. Step 4: Simplify right side
    35,382,031.88x = 5,727,837,003,205,006
  5. Step 5: Solve for x
    x = 5,727,837,003,205,006/35,382,031.88
  6. Step 6: Final answer
    x = 161,885,474.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.