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Finding the Third Proportional to 9,996,868,855 and 20,821,172,659

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Solution

The third proportional to 9,996,868,855 and 20,821,172,659 is: 43,365,701,519.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996,868,855 : 20,821,172,659 = 20,821,172,659 : x
  2. Step 2: Convert to fraction form
    9,996,868,855/20,821,172,659 = 20,821,172,659/x
  3. Step 3: Cross multiply
    9,996,868,855x = 20,821,172,659 × 20,821,172,659
  4. Step 4: Simplify right side
    9,996,868,855x = 433,521,230,895,889,121,280
  5. Step 5: Solve for x
    x = 433,521,230,895,889,121,280/9,996,868,855
  6. Step 6: Final answer
    x = 43,365,701,519.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.