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Finding the Third Proportional to 31,031,691.16 and 65,846,007.09

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Solution

The third proportional to 31,031,691.16 and 65,846,007.09 is: 139,718,348.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,031,691.16 : 65,846,007.09 = 65,846,007.09 : x
  2. Step 2: Convert to fraction form
    31,031,691.16/65,846,007.09 = 65,846,007.09/x
  3. Step 3: Cross multiply
    31,031,691.16x = 65,846,007.09 × 65,846,007.09
  4. Step 4: Simplify right side
    31,031,691.16x = 4,335,696,650,190,175.50
  5. Step 5: Solve for x
    x = 4,335,696,650,190,175.50/31,031,691.16
  6. Step 6: Final answer
    x = 139,718,348.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.