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Finding the Third Proportional to 31,044,976 and 65,307,376

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Solution

The third proportional to 31,044,976 and 65,307,376 is: 137,383,045.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,044,976 : 65,307,376 = 65,307,376 : x
  2. Step 2: Convert to fraction form
    31,044,976/65,307,376 = 65,307,376/x
  3. Step 3: Cross multiply
    31,044,976x = 65,307,376 × 65,307,376
  4. Step 4: Simplify right side
    31,044,976x = 4,265,053,360,005,376
  5. Step 5: Solve for x
    x = 4,265,053,360,005,376/31,044,976
  6. Step 6: Final answer
    x = 137,383,045.81

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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.