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Finding the Third Proportional to 19,096,102.13 and 39,074,653.13

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Solution

The third proportional to 19,096,102.13 and 39,074,653.13 is: 79,954,982.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,096,102.13 : 39,074,653.13 = 39,074,653.13 : x
  2. Step 2: Convert to fraction form
    19,096,102.13/39,074,653.13 = 39,074,653.13/x
  3. Step 3: Cross multiply
    19,096,102.13x = 39,074,653.13 × 39,074,653.13
  4. Step 4: Simplify right side
    19,096,102.13x = 1,526,828,516,839,072.25
  5. Step 5: Solve for x
    x = 1,526,828,516,839,072.25/19,096,102.13
  6. Step 6: Final answer
    x = 79,954,982.79

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.