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Finding the Third Proportional to 31,044,919 and 65,307,266

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Solution

The third proportional to 31,044,919 and 65,307,266 is: 137,382,835.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,044,919 : 65,307,266 = 65,307,266 : x
  2. Step 2: Convert to fraction form
    31,044,919/65,307,266 = 65,307,266/x
  3. Step 3: Cross multiply
    31,044,919x = 65,307,266 × 65,307,266
  4. Step 4: Simplify right side
    31,044,919x = 4,265,038,992,394,756
  5. Step 5: Solve for x
    x = 4,265,038,992,394,756/31,044,919
  6. Step 6: Final answer
    x = 137,382,835.25

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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.