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Finding the Third Proportional to 9,657,814 and 20,467,084

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Solution

The third proportional to 9,657,814 and 20,467,084 is: 43,374,362.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657,814 : 20,467,084 = 20,467,084 : x
  2. Step 2: Convert to fraction form
    9,657,814/20,467,084 = 20,467,084/x
  3. Step 3: Cross multiply
    9,657,814x = 20,467,084 × 20,467,084
  4. Step 4: Simplify right side
    9,657,814x = 418,901,527,463,056
  5. Step 5: Solve for x
    x = 418,901,527,463,056/9,657,814
  6. Step 6: Final answer
    x = 43,374,362.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.