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Finding the Third Proportional to 10,485,586.69 and 14,166,679.78

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Solution

The third proportional to 10,485,586.69 and 14,166,679.78 is: 19,140,065.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485,586.69 : 14,166,679.78 = 14,166,679.78 : x
  2. Step 2: Convert to fraction form
    10,485,586.69/14,166,679.78 = 14,166,679.78/x
  3. Step 3: Cross multiply
    10,485,586.69x = 14,166,679.78 × 14,166,679.78
  4. Step 4: Simplify right side
    10,485,586.69x = 200,694,816,024,477.56
  5. Step 5: Solve for x
    x = 200,694,816,024,477.56/10,485,586.69
  6. Step 6: Final answer
    x = 19,140,065.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.