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Finding the Third Proportional to 987,213,406,808 and 2,002,185,006,572

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Solution

The third proportional to 987,213,406,808 and 2,002,185,006,572 is: 4,060,666,896,232.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,213,406,808 : 2,002,185,006,572 = 2,002,185,006,572 : x
  2. Step 2: Convert to fraction form
    987,213,406,808/2,002,185,006,572 = 2,002,185,006,572/x
  3. Step 3: Cross multiply
    987,213,406,808x = 2,002,185,006,572 × 2,002,185,006,572
  4. Step 4: Simplify right side
    987,213,406,808x = 4,008,744,800,541,719,931,125,760
  5. Step 5: Solve for x
    x = 4,008,744,800,541,719,931,125,760/987,213,406,808
  6. Step 6: Final answer
    x = 4,060,666,896,232.06

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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.