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Finding the Third Proportional to 634,433,649 and 969,885,542

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Solution

The third proportional to 634,433,649 and 969,885,542 is: 1,482,705,033.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,433,649 : 969,885,542 = 969,885,542 : x
  2. Step 2: Convert to fraction form
    634,433,649/969,885,542 = 969,885,542/x
  3. Step 3: Cross multiply
    634,433,649x = 969,885,542 × 969,885,542
  4. Step 4: Simplify right side
    634,433,649x = 940,677,964,580,633,728
  5. Step 5: Solve for x
    x = 940,677,964,580,633,728/634,433,649
  6. Step 6: Final answer
    x = 1,482,705,033.16

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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.