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Finding the Third Proportional to 9,996,868,941 and 20,821,172,844

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Solution

The third proportional to 9,996,868,941 and 20,821,172,844 is: 43,365,701,917.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996,868,941 : 20,821,172,844 = 20,821,172,844 : x
  2. Step 2: Convert to fraction form
    9,996,868,941/20,821,172,844 = 20,821,172,844/x
  3. Step 3: Cross multiply
    9,996,868,941x = 20,821,172,844 × 20,821,172,844
  4. Step 4: Simplify right side
    9,996,868,941x = 433,521,238,599,723,057,152
  5. Step 5: Solve for x
    x = 433,521,238,599,723,057,152/9,996,868,941
  6. Step 6: Final answer
    x = 43,365,701,917.10

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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.