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Finding the Third Proportional to 38,025,012 and 82,111,560

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Solution

The third proportional to 38,025,012 and 82,111,560 is: 177,312,456.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,025,012 : 82,111,560 = 82,111,560 : x
  2. Step 2: Convert to fraction form
    38,025,012/82,111,560 = 82,111,560/x
  3. Step 3: Cross multiply
    38,025,012x = 82,111,560 × 82,111,560
  4. Step 4: Simplify right side
    38,025,012x = 6,742,308,285,633,600
  5. Step 5: Solve for x
    x = 6,742,308,285,633,600/38,025,012
  6. Step 6: Final answer
    x = 177,312,456.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.