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Finding the Third Proportional to 1,002,427,666 and 2,087,350,888

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Solution

The third proportional to 1,002,427,666 and 2,087,350,888 is: 4,346,481,923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,427,666 : 2,087,350,888 = 2,087,350,888 : x
  2. Step 2: Convert to fraction form
    1,002,427,666/2,087,350,888 = 2,087,350,888/x
  3. Step 3: Cross multiply
    1,002,427,666x = 2,087,350,888 × 2,087,350,888
  4. Step 4: Simplify right side
    1,002,427,666x = 4,357,033,729,634,388,480
  5. Step 5: Solve for x
    x = 4,357,033,729,634,388,480/1,002,427,666
  6. Step 6: Final answer
    x = 4,346,481,923.25

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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.