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Finding the Third Proportional to 6,835,578.19 and 14,844,727.41

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Solution

The third proportional to 6,835,578.19 and 14,844,727.41 is: 32,238,082.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835,578.19 : 14,844,727.41 = 14,844,727.41 : x
  2. Step 2: Convert to fraction form
    6,835,578.19/14,844,727.41 = 14,844,727.41/x
  3. Step 3: Cross multiply
    6,835,578.19x = 14,844,727.41 × 14,844,727.41
  4. Step 4: Simplify right side
    6,835,578.19x = 220,365,931,765,869.84
  5. Step 5: Solve for x
    x = 220,365,931,765,869.84/6,835,578.19
  6. Step 6: Final answer
    x = 32,238,082.24

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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.