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Finding the Third Proportional to 993,261,192 and 2,107,548,042

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Solution

The third proportional to 993,261,192 and 2,107,548,042 is: 4,471,893,984.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,261,192 : 2,107,548,042 = 2,107,548,042 : x
  2. Step 2: Convert to fraction form
    993,261,192/2,107,548,042 = 2,107,548,042/x
  3. Step 3: Cross multiply
    993,261,192x = 2,107,548,042 × 2,107,548,042
  4. Step 4: Simplify right side
    993,261,192x = 4,441,758,749,338,033,664
  5. Step 5: Solve for x
    x = 4,441,758,749,338,033,664/993,261,192
  6. Step 6: Final answer
    x = 4,471,893,984.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.