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Finding the Third Proportional to 8,119,026 and 17,462,772

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Solution

The third proportional to 8,119,026 and 17,462,772 is: 37,559,727.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119,026 : 17,462,772 = 17,462,772 : x
  2. Step 2: Convert to fraction form
    8,119,026/17,462,772 = 17,462,772/x
  3. Step 3: Cross multiply
    8,119,026x = 17,462,772 × 17,462,772
  4. Step 4: Simplify right side
    8,119,026x = 304,948,405,923,984
  5. Step 5: Solve for x
    x = 304,948,405,923,984/8,119,026
  6. Step 6: Final answer
    x = 37,559,727.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.