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Finding the Third Proportional to 17,642,355.75 and 38,216,324.81

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Solution

The third proportional to 17,642,355.75 and 38,216,324.81 is: 82,783,019.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642,355.75 : 38,216,324.81 = 38,216,324.81 : x
  2. Step 2: Convert to fraction form
    17,642,355.75/38,216,324.81 = 38,216,324.81/x
  3. Step 3: Cross multiply
    17,642,355.75x = 38,216,324.81 × 38,216,324.81
  4. Step 4: Simplify right side
    17,642,355.75x = 1,460,487,482,174,503.25
  5. Step 5: Solve for x
    x = 1,460,487,482,174,503.25/17,642,355.75
  6. Step 6: Final answer
    x = 82,783,019.62

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