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Finding the Third Proportional to 8,233,618,170 and 12,722,305,191

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Solution

The third proportional to 8,233,618,170 and 12,722,305,191 is: 19,658,070,854.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233,618,170 : 12,722,305,191 = 12,722,305,191 : x
  2. Step 2: Convert to fraction form
    8,233,618,170/12,722,305,191 = 12,722,305,191/x
  3. Step 3: Cross multiply
    8,233,618,170x = 12,722,305,191 × 12,722,305,191
  4. Step 4: Simplify right side
    8,233,618,170x = 161,857,049,372,945,547,264
  5. Step 5: Solve for x
    x = 161,857,049,372,945,547,264/8,233,618,170
  6. Step 6: Final answer
    x = 19,658,070,854.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.