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Finding the Third Proportional to 447,864,184,174.50 and 987,017,354,713.50

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Solution

The third proportional to 447,864,184,174.50 and 987,017,354,713.50 is: 2,175,220,285,366.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,864,184,174.50 : 987,017,354,713.50 = 987,017,354,713.50 : x
  2. Step 2: Convert to fraction form
    447,864,184,174.50/987,017,354,713.50 = 987,017,354,713.50/x
  3. Step 3: Cross multiply
    447,864,184,174.50x = 987,017,354,713.50 × 987,017,354,713.50
  4. Step 4: Simplify right side
    447,864,184,174.50x = 974,203,258,505,635,072,835,584
  5. Step 5: Solve for x
    x = 974,203,258,505,635,072,835,584/447,864,184,174.50
  6. Step 6: Final answer
    x = 2,175,220,285,366.82

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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.