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Finding the Third Proportional to 2,094,505,778 and 3,123,595,359

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Solution

The third proportional to 2,094,505,778 and 3,123,595,359 is: 4,658,305,586.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094,505,778 : 3,123,595,359 = 3,123,595,359 : x
  2. Step 2: Convert to fraction form
    2,094,505,778/3,123,595,359 = 3,123,595,359/x
  3. Step 3: Cross multiply
    2,094,505,778x = 3,123,595,359 × 3,123,595,359
  4. Step 4: Simplify right side
    2,094,505,778x = 9,756,847,966,766,338,048
  5. Step 5: Solve for x
    x = 9,756,847,966,766,338,048/2,094,505,778
  6. Step 6: Final answer
    x = 4,658,305,586.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.