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Finding the Third Proportional to 8,101,434 and 17,593,768

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Solution

The third proportional to 8,101,434 and 17,593,768 is: 38,208,133.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101,434 : 17,593,768 = 17,593,768 : x
  2. Step 2: Convert to fraction form
    8,101,434/17,593,768 = 17,593,768/x
  3. Step 3: Cross multiply
    8,101,434x = 17,593,768 × 17,593,768
  4. Step 4: Simplify right side
    8,101,434x = 309,540,672,437,824
  5. Step 5: Solve for x
    x = 309,540,672,437,824/8,101,434
  6. Step 6: Final answer
    x = 38,208,133.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.