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Finding the Third Proportional to 21,105,675 and 31,534,270

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Solution

The third proportional to 21,105,675 and 31,534,270 is: 47,115,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,105,675 : 31,534,270 = 31,534,270 : x
  2. Step 2: Convert to fraction form
    21,105,675/31,534,270 = 31,534,270/x
  3. Step 3: Cross multiply
    21,105,675x = 31,534,270 × 31,534,270
  4. Step 4: Simplify right side
    21,105,675x = 994,410,184,432,900
  5. Step 5: Solve for x
    x = 994,410,184,432,900/21,105,675
  6. Step 6: Final answer
    x = 47,115,772.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.