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Finding the Third Proportional to 31,044,944 and 65,307,320

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Solution

The third proportional to 31,044,944 and 65,307,320 is: 137,382,951.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,044,944 : 65,307,320 = 65,307,320 : x
  2. Step 2: Convert to fraction form
    31,044,944/65,307,320 = 65,307,320/x
  3. Step 3: Cross multiply
    31,044,944x = 65,307,320 × 65,307,320
  4. Step 4: Simplify right side
    31,044,944x = 4,265,046,045,582,400
  5. Step 5: Solve for x
    x = 4,265,046,045,582,400/31,044,944
  6. Step 6: Final answer
    x = 137,382,951.81

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