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Finding the Third Proportional to 3,096,392,177,372 and 4,305,285,819,304

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Solution

The third proportional to 3,096,392,177,372 and 4,305,285,819,304 is: 5,986,155,798,143.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096,392,177,372 : 4,305,285,819,304 = 4,305,285,819,304 : x
  2. Step 2: Convert to fraction form
    3,096,392,177,372/4,305,285,819,304 = 4,305,285,819,304/x
  3. Step 3: Cross multiply
    3,096,392,177,372x = 4,305,285,819,304 × 4,305,285,819,304
  4. Step 4: Simplify right side
    3,096,392,177,372x = 18,535,485,985,900,114,774,851,584
  5. Step 5: Solve for x
    x = 18,535,485,985,900,114,774,851,584/3,096,392,177,372
  6. Step 6: Final answer
    x = 5,986,155,798,143.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.