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Finding the Third Proportional to 987,213,406,806 and 2,002,185,006,567.80

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Solution

The third proportional to 987,213,406,806 and 2,002,185,006,567.80 is: 4,060,666,896,223.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,213,406,806 : 2,002,185,006,567.80 = 2,002,185,006,567.80 : x
  2. Step 2: Convert to fraction form
    987,213,406,806/2,002,185,006,567.80 = 2,002,185,006,567.80/x
  3. Step 3: Cross multiply
    987,213,406,806x = 2,002,185,006,567.80 × 2,002,185,006,567.80
  4. Step 4: Simplify right side
    987,213,406,806x = 4,008,744,800,524,901,376,065,536
  5. Step 5: Solve for x
    x = 4,008,744,800,524,901,376,065,536/987,213,406,806
  6. Step 6: Final answer
    x = 4,060,666,896,223.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.