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Finding the Third Proportional to 19,767,574.13 and 40,498,314.19

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Solution

The third proportional to 19,767,574.13 and 40,498,314.19 is: 82,969,890.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,767,574.13 : 40,498,314.19 = 40,498,314.19 : x
  2. Step 2: Convert to fraction form
    19,767,574.13/40,498,314.19 = 40,498,314.19/x
  3. Step 3: Cross multiply
    19,767,574.13x = 40,498,314.19 × 40,498,314.19
  4. Step 4: Simplify right side
    19,767,574.13x = 1,640,113,452,029,463.75
  5. Step 5: Solve for x
    x = 1,640,113,452,029,463.75/19,767,574.13
  6. Step 6: Final answer
    x = 82,969,890.07

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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.