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Finding the Third Proportional to 987,213,406,821 and 2,002,185,006,600

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Solution

The third proportional to 987,213,406,821 and 2,002,185,006,600 is: 4,060,666,896,292.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,213,406,821 : 2,002,185,006,600 = 2,002,185,006,600 : x
  2. Step 2: Convert to fraction form
    987,213,406,821/2,002,185,006,600 = 2,002,185,006,600/x
  3. Step 3: Cross multiply
    987,213,406,821x = 2,002,185,006,600 × 2,002,185,006,600
  4. Step 4: Simplify right side
    987,213,406,821x = 4,008,744,800,653,842,199,871,488
  5. Step 5: Solve for x
    x = 4,008,744,800,653,842,199,871,488/987,213,406,821
  6. Step 6: Final answer
    x = 4,060,666,896,292.16

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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.