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Finding the Third Proportional to 1,002,427,664.50 and 2,087,350,886

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Solution

The third proportional to 1,002,427,664.50 and 2,087,350,886 is: 4,346,481,921.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,427,664.50 : 2,087,350,886 = 2,087,350,886 : x
  2. Step 2: Convert to fraction form
    1,002,427,664.50/2,087,350,886 = 2,087,350,886/x
  3. Step 3: Cross multiply
    1,002,427,664.50x = 2,087,350,886 × 2,087,350,886
  4. Step 4: Simplify right side
    1,002,427,664.50x = 4,357,033,721,284,984,832
  5. Step 5: Solve for x
    x = 4,357,033,721,284,984,832/1,002,427,664.50
  6. Step 6: Final answer
    x = 4,346,481,921.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.