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Finding the Third Proportional to 10,209,478,608 and 22,161,383,856

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Solution

The third proportional to 10,209,478,608 and 22,161,383,856 is: 48,104,996,667.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209,478,608 : 22,161,383,856 = 22,161,383,856 : x
  2. Step 2: Convert to fraction form
    10,209,478,608/22,161,383,856 = 22,161,383,856/x
  3. Step 3: Cross multiply
    10,209,478,608x = 22,161,383,856 × 22,161,383,856
  4. Step 4: Simplify right side
    10,209,478,608x = 491,126,934,412,977,438,720
  5. Step 5: Solve for x
    x = 491,126,934,412,977,438,720/10,209,478,608
  6. Step 6: Final answer
    x = 48,104,996,667.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.