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Finding the Third Proportional to 14,494,278 and 31,592,832

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Solution

The third proportional to 14,494,278 and 31,592,832 is: 68,862,142.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494,278 : 31,592,832 = 31,592,832 : x
  2. Step 2: Convert to fraction form
    14,494,278/31,592,832 = 31,592,832/x
  3. Step 3: Cross multiply
    14,494,278x = 31,592,832 × 31,592,832
  4. Step 4: Simplify right side
    14,494,278x = 998,107,033,780,224
  5. Step 5: Solve for x
    x = 998,107,033,780,224/14,494,278
  6. Step 6: Final answer
    x = 68,862,142.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.