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Finding the Third Proportional to 442,933,620.47 and 949,045,599.84

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Solution

The third proportional to 442,933,620.47 and 949,045,599.84 is: 2,033,459,437.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,933,620.47 : 949,045,599.84 = 949,045,599.84 : x
  2. Step 2: Convert to fraction form
    442,933,620.47/949,045,599.84 = 949,045,599.84/x
  3. Step 3: Cross multiply
    442,933,620.47x = 949,045,599.84 × 949,045,599.84
  4. Step 4: Simplify right side
    442,933,620.47x = 900,687,550,582,783,232
  5. Step 5: Solve for x
    x = 900,687,550,582,783,232/442,933,620.47
  6. Step 6: Final answer
    x = 2,033,459,437.17

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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.