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Finding the Third Proportional to 447,864,182,154 and 987,017,350,662

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Solution

The third proportional to 447,864,182,154 and 987,017,350,662 is: 2,175,220,277,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,864,182,154 : 987,017,350,662 = 987,017,350,662 : x
  2. Step 2: Convert to fraction form
    447,864,182,154/987,017,350,662 = 987,017,350,662/x
  3. Step 3: Cross multiply
    447,864,182,154x = 987,017,350,662 × 987,017,350,662
  4. Step 4: Simplify right side
    447,864,182,154x = 974,203,250,507,833,529,073,664
  5. Step 5: Solve for x
    x = 974,203,250,507,833,529,073,664/447,864,182,154
  6. Step 6: Final answer
    x = 2,175,220,277,322.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.