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Finding the Third Proportional to 38,338,082 and 83,394,628

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Solution

The third proportional to 38,338,082 and 83,394,628 is: 181,403,544.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,338,082 : 83,394,628 = 83,394,628 : x
  2. Step 2: Convert to fraction form
    38,338,082/83,394,628 = 83,394,628/x
  3. Step 3: Cross multiply
    38,338,082x = 83,394,628 × 83,394,628
  4. Step 4: Simplify right side
    38,338,082x = 6,954,663,979,258,384
  5. Step 5: Solve for x
    x = 6,954,663,979,258,384/38,338,082
  6. Step 6: Final answer
    x = 181,403,544.89

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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.