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Finding the Third Proportional to 38,220,634 and 83,159,372

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Solution

The third proportional to 38,220,634 and 83,159,372 is: 180,935,804.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,220,634 : 83,159,372 = 83,159,372 : x
  2. Step 2: Convert to fraction form
    38,220,634/83,159,372 = 83,159,372/x
  3. Step 3: Cross multiply
    38,220,634x = 83,159,372 × 83,159,372
  4. Step 4: Simplify right side
    38,220,634x = 6,915,481,151,434,384
  5. Step 5: Solve for x
    x = 6,915,481,151,434,384/38,220,634
  6. Step 6: Final answer
    x = 180,935,804.24

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