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Finding the Third Proportional to 408,918,182 and 634,379,074

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Solution

The third proportional to 408,918,182 and 634,379,074 is: 984,149,952.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,918,182 : 634,379,074 = 634,379,074 : x
  2. Step 2: Convert to fraction form
    408,918,182/634,379,074 = 634,379,074/x
  3. Step 3: Cross multiply
    408,918,182x = 634,379,074 × 634,379,074
  4. Step 4: Simplify right side
    408,918,182x = 402,436,809,529,097,472
  5. Step 5: Solve for x
    x = 402,436,809,529,097,472/408,918,182
  6. Step 6: Final answer
    x = 984,149,952.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.