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Finding the Third Proportional to 677,234,475.07 and 1,036,092,919.78

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Solution

The third proportional to 677,234,475.07 and 1,036,092,919.78 is: 1,585,106,160.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,234,475.07 : 1,036,092,919.78 = 1,036,092,919.78 : x
  2. Step 2: Convert to fraction form
    677,234,475.07/1,036,092,919.78 = 1,036,092,919.78/x
  3. Step 3: Cross multiply
    677,234,475.07x = 1,036,092,919.78 × 1,036,092,919.78
  4. Step 4: Simplify right side
    677,234,475.07x = 1,073,488,538,420,732,288
  5. Step 5: Solve for x
    x = 1,073,488,538,420,732,288/677,234,475.07
  6. Step 6: Final answer
    x = 1,585,106,160.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.