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Finding the Third Proportional to 679,556,472.75 and 1,049,377,150.13

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Solution

The third proportional to 679,556,472.75 and 1,049,377,150.13 is: 1,620,457,529.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,556,472.75 : 1,049,377,150.13 = 1,049,377,150.13 : x
  2. Step 2: Convert to fraction form
    679,556,472.75/1,049,377,150.13 = 1,049,377,150.13/x
  3. Step 3: Cross multiply
    679,556,472.75x = 1,049,377,150.13 × 1,049,377,150.13
  4. Step 4: Simplify right side
    679,556,472.75x = 1,101,192,403,204,466,816
  5. Step 5: Solve for x
    x = 1,101,192,403,204,466,816/679,556,472.75
  6. Step 6: Final answer
    x = 1,620,457,529.82

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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.