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Finding the Third Proportional to 31,044,859.88 and 65,307,525.75

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Solution

The third proportional to 31,044,859.88 and 65,307,525.75 is: 137,384,189.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,044,859.88 : 65,307,525.75 = 65,307,525.75 : x
  2. Step 2: Convert to fraction form
    31,044,859.88/65,307,525.75 = 65,307,525.75/x
  3. Step 3: Cross multiply
    31,044,859.88x = 65,307,525.75 × 65,307,525.75
  4. Step 4: Simplify right side
    31,044,859.88x = 4,265,072,919,586,913
  5. Step 5: Solve for x
    x = 4,265,072,919,586,913/31,044,859.88
  6. Step 6: Final answer
    x = 137,384,189.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.