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Finding the Third Proportional to 9,199,716,398 and 20,011,318,305

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Solution

The third proportional to 9,199,716,398 and 20,011,318,305 is: 43,528,826,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199,716,398 : 20,011,318,305 = 20,011,318,305 : x
  2. Step 2: Convert to fraction form
    9,199,716,398/20,011,318,305 = 20,011,318,305/x
  3. Step 3: Cross multiply
    9,199,716,398x = 20,011,318,305 × 20,011,318,305
  4. Step 4: Simplify right side
    9,199,716,398x = 400,452,860,304,028,073,984
  5. Step 5: Solve for x
    x = 400,452,860,304,028,073,984/9,199,716,398
  6. Step 6: Final answer
    x = 43,528,826,648.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.