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Finding the Third Proportional to 14,492,634.75 and 31,255,173

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Solution

The third proportional to 14,492,634.75 and 31,255,173 is: 67,405,675.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,492,634.75 : 31,255,173 = 31,255,173 : x
  2. Step 2: Convert to fraction form
    14,492,634.75/31,255,173 = 31,255,173/x
  3. Step 3: Cross multiply
    14,492,634.75x = 31,255,173 × 31,255,173
  4. Step 4: Simplify right side
    14,492,634.75x = 976,885,839,259,929
  5. Step 5: Solve for x
    x = 976,885,839,259,929/14,492,634.75
  6. Step 6: Final answer
    x = 67,405,675.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.