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Finding the Third Proportional to 987,213,406,815 and 2,002,185,006,588

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Solution

The third proportional to 987,213,406,815 and 2,002,185,006,588 is: 4,060,666,896,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,213,406,815 : 2,002,185,006,588 = 2,002,185,006,588 : x
  2. Step 2: Convert to fraction form
    987,213,406,815/2,002,185,006,588 = 2,002,185,006,588/x
  3. Step 3: Cross multiply
    987,213,406,815x = 2,002,185,006,588 × 2,002,185,006,588
  4. Step 4: Simplify right side
    987,213,406,815x = 4,008,744,800,605,789,568,892,928
  5. Step 5: Solve for x
    x = 4,008,744,800,605,789,568,892,928/987,213,406,815
  6. Step 6: Final answer
    x = 4,060,666,896,268.17

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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.