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Finding the Third Proportional to 447,864,184,176 and 987,017,354,714

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Solution

The third proportional to 447,864,184,176 and 987,017,354,714 is: 2,175,220,285,361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,864,184,176 : 987,017,354,714 = 987,017,354,714 : x
  2. Step 2: Convert to fraction form
    447,864,184,176/987,017,354,714 = 987,017,354,714/x
  3. Step 3: Cross multiply
    447,864,184,176x = 987,017,354,714 × 987,017,354,714
  4. Step 4: Simplify right side
    447,864,184,176x = 974,203,258,506,622,110,007,296
  5. Step 5: Solve for x
    x = 974,203,258,506,622,110,007,296/447,864,184,176
  6. Step 6: Final answer
    x = 2,175,220,285,361.74

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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.