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Finding the Third Proportional to 442,933,621.50 and 949,045,602

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Solution

The third proportional to 442,933,621.50 and 949,045,602 is: 2,033,459,441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,933,621.50 : 949,045,602 = 949,045,602 : x
  2. Step 2: Convert to fraction form
    442,933,621.50/949,045,602 = 949,045,602/x
  3. Step 3: Cross multiply
    442,933,621.50x = 949,045,602 × 949,045,602
  4. Step 4: Simplify right side
    442,933,621.50x = 900,687,554,675,542,400
  5. Step 5: Solve for x
    x = 900,687,554,675,542,400/442,933,621.50
  6. Step 6: Final answer
    x = 2,033,459,441.68

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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.