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Finding the Third Proportional to 9,096,011.44 and 13,305,439.69

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Solution

The third proportional to 9,096,011.44 and 13,305,439.69 is: 19,462,896.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096,011.44 : 13,305,439.69 = 13,305,439.69 : x
  2. Step 2: Convert to fraction form
    9,096,011.44/13,305,439.69 = 13,305,439.69/x
  3. Step 3: Cross multiply
    9,096,011.44x = 13,305,439.69 × 13,305,439.69
  4. Step 4: Simplify right side
    9,096,011.44x = 177,034,725,277,700.09
  5. Step 5: Solve for x
    x = 177,034,725,277,700.09/9,096,011.44
  6. Step 6: Final answer
    x = 19,462,896.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.