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Finding the Third Proportional to 512,681,114 and 1,101,801,170

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Solution

The third proportional to 512,681,114 and 1,101,801,170 is: 2,367,877,000.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,681,114 : 1,101,801,170 = 1,101,801,170 : x
  2. Step 2: Convert to fraction form
    512,681,114/1,101,801,170 = 1,101,801,170/x
  3. Step 3: Cross multiply
    512,681,114x = 1,101,801,170 × 1,101,801,170
  4. Step 4: Simplify right side
    512,681,114x = 1,213,965,818,213,368,832
  5. Step 5: Solve for x
    x = 1,213,965,818,213,368,832/512,681,114
  6. Step 6: Final answer
    x = 2,367,877,000.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.