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Finding the Third Proportional to 31,044,927 and 65,307,317

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Solution

The third proportional to 31,044,927 and 65,307,317 is: 137,383,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,044,927 : 65,307,317 = 65,307,317 : x
  2. Step 2: Convert to fraction form
    31,044,927/65,307,317 = 65,307,317/x
  3. Step 3: Cross multiply
    31,044,927x = 65,307,317 × 65,307,317
  4. Step 4: Simplify right side
    31,044,927x = 4,265,045,653,738,489
  5. Step 5: Solve for x
    x = 4,265,045,653,738,489/31,044,927
  6. Step 6: Final answer
    x = 137,383,014.42

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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.