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Finding the Third Proportional to 9,996,868,928 and 20,821,172,817

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Solution

The third proportional to 9,996,868,928 and 20,821,172,817 is: 43,365,701,861.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996,868,928 : 20,821,172,817 = 20,821,172,817 : x
  2. Step 2: Convert to fraction form
    9,996,868,928/20,821,172,817 = 20,821,172,817/x
  3. Step 3: Cross multiply
    9,996,868,928x = 20,821,172,817 × 20,821,172,817
  4. Step 4: Simplify right side
    9,996,868,928x = 433,521,237,475,379,707,904
  5. Step 5: Solve for x
    x = 433,521,237,475,379,707,904/9,996,868,928
  6. Step 6: Final answer
    x = 43,365,701,861.02

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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.