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Finding the Third Proportional to 3,844,864.13 and 9,076,163.63

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Solution

The third proportional to 3,844,864.13 and 9,076,163.63 is: 21,425,138.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844,864.13 : 9,076,163.63 = 9,076,163.63 : x
  2. Step 2: Convert to fraction form
    3,844,864.13/9,076,163.63 = 9,076,163.63/x
  3. Step 3: Cross multiply
    3,844,864.13x = 9,076,163.63 × 9,076,163.63
  4. Step 4: Simplify right side
    3,844,864.13x = 82,376,746,147,773.14
  5. Step 5: Solve for x
    x = 82,376,746,147,773.14/3,844,864.13
  6. Step 6: Final answer
    x = 21,425,138.44

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.