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Finding the Third Proportional to 6,172,667 and 9,169,606.50

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Solution

The third proportional to 6,172,667 and 9,169,606.50 is: 13,621,613.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172,667 : 9,169,606.50 = 9,169,606.50 : x
  2. Step 2: Convert to fraction form
    6,172,667/9,169,606.50 = 9,169,606.50/x
  3. Step 3: Cross multiply
    6,172,667x = 9,169,606.50 × 9,169,606.50
  4. Step 4: Simplify right side
    6,172,667x = 84,081,683,364,842.25
  5. Step 5: Solve for x
    x = 84,081,683,364,842.25/6,172,667
  6. Step 6: Final answer
    x = 13,621,613.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.