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Finding the Third Proportional to 49,123,556,444 and 75,459,791,973

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Solution

The third proportional to 49,123,556,444 and 75,459,791,973 is: 115,915,471,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,123,556,444 : 75,459,791,973 = 75,459,791,973 : x
  2. Step 2: Convert to fraction form
    49,123,556,444/75,459,791,973 = 75,459,791,973/x
  3. Step 3: Cross multiply
    49,123,556,444x = 75,459,791,973 × 75,459,791,973
  4. Step 4: Simplify right side
    49,123,556,444x = 5,694,180,204,608,434,995,200
  5. Step 5: Solve for x
    x = 5,694,180,204,608,434,995,200/49,123,556,444
  6. Step 6: Final answer
    x = 115,915,471,452.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.