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Finding the Third Proportional to 9,996,868,869 and 20,821,172,686

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Solution

The third proportional to 9,996,868,869 and 20,821,172,686 is: 43,365,701,571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996,868,869 : 20,821,172,686 = 20,821,172,686 : x
  2. Step 2: Convert to fraction form
    9,996,868,869/20,821,172,686 = 20,821,172,686/x
  3. Step 3: Cross multiply
    9,996,868,869x = 20,821,172,686 × 20,821,172,686
  4. Step 4: Simplify right side
    9,996,868,869x = 433,521,232,020,232,470,528
  5. Step 5: Solve for x
    x = 433,521,232,020,232,470,528/9,996,868,869
  6. Step 6: Final answer
    x = 43,365,701,571.28

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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.