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Finding the Third Proportional to 8,207,858 and 17,817,574

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Solution

The third proportional to 8,207,858 and 17,817,574 is: 38,678,293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207,858 : 17,817,574 = 17,817,574 : x
  2. Step 2: Convert to fraction form
    8,207,858/17,817,574 = 17,817,574/x
  3. Step 3: Cross multiply
    8,207,858x = 17,817,574 × 17,817,574
  4. Step 4: Simplify right side
    8,207,858x = 317,465,943,245,476
  5. Step 5: Solve for x
    x = 317,465,943,245,476/8,207,858
  6. Step 6: Final answer
    x = 38,678,293.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.