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Finding the Third Proportional to 29,124,240,556,328 and 63,375,520,670,892

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Solution

The third proportional to 29,124,240,556,328 and 63,375,520,670,892 is: 137,907,685,954,543.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,124,240,556,328 : 63,375,520,670,892 = 63,375,520,670,892 : x
  2. Step 2: Convert to fraction form
    29,124,240,556,328/63,375,520,670,892 = 63,375,520,670,892/x
  3. Step 3: Cross multiply
    29,124,240,556,328x = 63,375,520,670,892 × 63,375,520,670,892
  4. Step 4: Simplify right side
    29,124,240,556,328x = 4,016,456,620,306,659,446,720,823,296
  5. Step 5: Solve for x
    x = 4,016,456,620,306,659,446,720,823,296/29,124,240,556,328
  6. Step 6: Final answer
    x = 137,907,685,954,543.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.