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Finding the Third Proportional to 318,552,449,854.50 and 682,542,011,709

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Solution

The third proportional to 318,552,449,854.50 and 682,542,011,709 is: 1,462,439,224,562.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,552,449,854.50 : 682,542,011,709 = 682,542,011,709 : x
  2. Step 2: Convert to fraction form
    318,552,449,854.50/682,542,011,709 = 682,542,011,709/x
  3. Step 3: Cross multiply
    318,552,449,854.50x = 682,542,011,709 × 682,542,011,709
  4. Step 4: Simplify right side
    318,552,449,854.50x = 465,863,597,747,768,676,843,520
  5. Step 5: Solve for x
    x = 465,863,597,747,768,676,843,520/318,552,449,854.50
  6. Step 6: Final answer
    x = 1,462,439,224,562.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.