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Finding the Third Proportional to 8,166,581 and 11,097,723

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Solution

The third proportional to 8,166,581 and 11,097,723 is: 15,080,907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166,581 : 11,097,723 = 11,097,723 : x
  2. Step 2: Convert to fraction form
    8,166,581/11,097,723 = 11,097,723/x
  3. Step 3: Cross multiply
    8,166,581x = 11,097,723 × 11,097,723
  4. Step 4: Simplify right side
    8,166,581x = 123,159,455,784,729
  5. Step 5: Solve for x
    x = 123,159,455,784,729/8,166,581
  6. Step 6: Final answer
    x = 15,080,907.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.