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Finding the Third Proportional to 1,107,341,609 and 2,613,985,721

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Solution

The third proportional to 1,107,341,609 and 2,613,985,721 is: 6,170,563,170.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107,341,609 : 2,613,985,721 = 2,613,985,721 : x
  2. Step 2: Convert to fraction form
    1,107,341,609/2,613,985,721 = 2,613,985,721/x
  3. Step 3: Cross multiply
    1,107,341,609x = 2,613,985,721 × 2,613,985,721
  4. Step 4: Simplify right side
    1,107,341,609x = 6,832,921,349,591,889,920
  5. Step 5: Solve for x
    x = 6,832,921,349,591,889,920/1,107,341,609
  6. Step 6: Final answer
    x = 6,170,563,170.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.