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Finding the Third Proportional to 449,670,182 and 1,002,734,110.50

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Solution

The third proportional to 449,670,182 and 1,002,734,110.50 is: 2,236,029,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,670,182 : 1,002,734,110.50 = 1,002,734,110.50 : x
  2. Step 2: Convert to fraction form
    449,670,182/1,002,734,110.50 = 1,002,734,110.50/x
  3. Step 3: Cross multiply
    449,670,182x = 1,002,734,110.50 × 1,002,734,110.50
  4. Step 4: Simplify right side
    449,670,182x = 1,005,475,696,360,226,176
  5. Step 5: Solve for x
    x = 1,005,475,696,360,226,176/449,670,182
  6. Step 6: Final answer
    x = 2,236,029,286.82

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.