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Finding the Third Proportional to 447,864,184,168.86 and 987,017,354,700.75

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Solution

The third proportional to 447,864,184,168.86 and 987,017,354,700.75 is: 2,175,220,285,338.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,864,184,168.86 : 987,017,354,700.75 = 987,017,354,700.75 : x
  2. Step 2: Convert to fraction form
    447,864,184,168.86/987,017,354,700.75 = 987,017,354,700.75/x
  3. Step 3: Cross multiply
    447,864,184,168.86x = 987,017,354,700.75 × 987,017,354,700.75
  4. Step 4: Simplify right side
    447,864,184,168.86x = 974,203,258,480,466,161,827,840
  5. Step 5: Solve for x
    x = 974,203,258,480,466,161,827,840/447,864,184,168.86
  6. Step 6: Final answer
    x = 2,175,220,285,338.02

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