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Finding the Third Proportional to 31,375,622,658 and 67,227,389,802

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Solution

The third proportional to 31,375,622,658 and 67,227,389,802 is: 144,045,649,351.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,375,622,658 : 67,227,389,802 = 67,227,389,802 : x
  2. Step 2: Convert to fraction form
    31,375,622,658/67,227,389,802 = 67,227,389,802/x
  3. Step 3: Cross multiply
    31,375,622,658x = 67,227,389,802 × 67,227,389,802
  4. Step 4: Simplify right side
    31,375,622,658x = 4,519,521,939,590,053,625,856
  5. Step 5: Solve for x
    x = 4,519,521,939,590,053,625,856/31,375,622,658
  6. Step 6: Final answer
    x = 144,045,649,351.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.