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Finding the Third Proportional to 3,431,742 and 7,461,084

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Solution

The third proportional to 3,431,742 and 7,461,084 is: 16,221,433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431,742 : 7,461,084 = 7,461,084 : x
  2. Step 2: Convert to fraction form
    3,431,742/7,461,084 = 7,461,084/x
  3. Step 3: Cross multiply
    3,431,742x = 7,461,084 × 7,461,084
  4. Step 4: Simplify right side
    3,431,742x = 55,667,774,455,056
  5. Step 5: Solve for x
    x = 55,667,774,455,056/3,431,742
  6. Step 6: Final answer
    x = 16,221,433.45

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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.