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Finding the Third Proportional to 4,057,210 and 8,567,119

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Solution

The third proportional to 4,057,210 and 8,567,119 is: 18,090,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057,210 : 8,567,119 = 8,567,119 : x
  2. Step 2: Convert to fraction form
    4,057,210/8,567,119 = 8,567,119/x
  3. Step 3: Cross multiply
    4,057,210x = 8,567,119 × 8,567,119
  4. Step 4: Simplify right side
    4,057,210x = 73,395,527,960,161
  5. Step 5: Solve for x
    x = 73,395,527,960,161/4,057,210
  6. Step 6: Final answer
    x = 18,090,147.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.