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Finding the Third Proportional to 22,866,788,045 and 49,532,447,578

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Solution

The third proportional to 22,866,788,045 and 49,532,447,578 is: 107,293,746,644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,866,788,045 : 49,532,447,578 = 49,532,447,578 : x
  2. Step 2: Convert to fraction form
    22,866,788,045/49,532,447,578 = 49,532,447,578/x
  3. Step 3: Cross multiply
    22,866,788,045x = 49,532,447,578 × 49,532,447,578
  4. Step 4: Simplify right side
    22,866,788,045x = 2,453,463,363,067,317,846,016
  5. Step 5: Solve for x
    x = 2,453,463,363,067,317,846,016/22,866,788,045
  6. Step 6: Final answer
    x = 107,293,746,644.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.