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Finding the Third Proportional to 4,540,276 and 9,634,016

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Solution

The third proportional to 4,540,276 and 9,634,016 is: 20,442,427.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540,276 : 9,634,016 = 9,634,016 : x
  2. Step 2: Convert to fraction form
    4,540,276/9,634,016 = 9,634,016/x
  3. Step 3: Cross multiply
    4,540,276x = 9,634,016 × 9,634,016
  4. Step 4: Simplify right side
    4,540,276x = 92,814,264,288,256
  5. Step 5: Solve for x
    x = 92,814,264,288,256/4,540,276
  6. Step 6: Final answer
    x = 20,442,427.79

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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.