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Finding the Third Proportional to 4,273,741,023.09 and 9,283,182,505.41

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Solution

The third proportional to 4,273,741,023.09 and 9,283,182,505.41 is: 20,164,412,621.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273,741,023.09 : 9,283,182,505.41 = 9,283,182,505.41 : x
  2. Step 2: Convert to fraction form
    4,273,741,023.09/9,283,182,505.41 = 9,283,182,505.41/x
  3. Step 3: Cross multiply
    4,273,741,023.09x = 9,283,182,505.41 × 9,283,182,505.41
  4. Step 4: Simplify right side
    4,273,741,023.09x = 86,177,477,428,676,018,176
  5. Step 5: Solve for x
    x = 86,177,477,428,676,018,176/4,273,741,023.09
  6. Step 6: Final answer
    x = 20,164,412,621.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.