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Finding the Third Proportional to 61,224,576,034 and 95,060,324,406

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Solution

The third proportional to 61,224,576,034 and 95,060,324,406 is: 147,595,391,614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,224,576,034 : 95,060,324,406 = 95,060,324,406 : x
  2. Step 2: Convert to fraction form
    61,224,576,034/95,060,324,406 = 95,060,324,406/x
  3. Step 3: Cross multiply
    61,224,576,034x = 95,060,324,406 × 95,060,324,406
  4. Step 4: Simplify right side
    61,224,576,034x = 9,036,465,276,173,959,561,216
  5. Step 5: Solve for x
    x = 9,036,465,276,173,959,561,216/61,224,576,034
  6. Step 6: Final answer
    x = 147,595,391,614.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.