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Finding the Third Proportional to 10,600,567,158 and 22,967,799,720

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Solution

The third proportional to 10,600,567,158 and 22,967,799,720 is: 49,763,358,518.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600,567,158 : 22,967,799,720 = 22,967,799,720 : x
  2. Step 2: Convert to fraction form
    10,600,567,158/22,967,799,720 = 22,967,799,720/x
  3. Step 3: Cross multiply
    10,600,567,158x = 22,967,799,720 × 22,967,799,720
  4. Step 4: Simplify right side
    10,600,567,158x = 527,519,823,978,032,070,656
  5. Step 5: Solve for x
    x = 527,519,823,978,032,070,656/10,600,567,158
  6. Step 6: Final answer
    x = 49,763,358,518.03

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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.