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Finding the Third Proportional to 38,424,765 and 82,341,084

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Solution

The third proportional to 38,424,765 and 82,341,084 is: 176,450,112.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,424,765 : 82,341,084 = 82,341,084 : x
  2. Step 2: Convert to fraction form
    38,424,765/82,341,084 = 82,341,084/x
  3. Step 3: Cross multiply
    38,424,765x = 82,341,084 × 82,341,084
  4. Step 4: Simplify right side
    38,424,765x = 6,780,054,114,295,056
  5. Step 5: Solve for x
    x = 6,780,054,114,295,056/38,424,765
  6. Step 6: Final answer
    x = 176,450,112.69

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.