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Finding the Third Proportional to 4,380,866,656,092 and 9,364,629,795,768

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Solution

The third proportional to 4,380,866,656,092 and 9,364,629,795,768 is: 20,018,023,394,945.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,380,866,656,092 : 9,364,629,795,768 = 9,364,629,795,768 : x
  2. Step 2: Convert to fraction form
    4,380,866,656,092/9,364,629,795,768 = 9,364,629,795,768/x
  3. Step 3: Cross multiply
    4,380,866,656,092x = 9,364,629,795,768 × 9,364,629,795,768
  4. Step 4: Simplify right side
    4,380,866,656,092x = 87,696,291,211,785,806,943,354,880
  5. Step 5: Solve for x
    x = 87,696,291,211,785,806,943,354,880/4,380,866,656,092
  6. Step 6: Final answer
    x = 20,018,023,394,945.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.