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Finding the Third Proportional to 8,388,175 and 18,346,364

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Solution

The third proportional to 8,388,175 and 18,346,364 is: 40,126,615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,388,175 : 18,346,364 = 18,346,364 : x
  2. Step 2: Convert to fraction form
    8,388,175/18,346,364 = 18,346,364/x
  3. Step 3: Cross multiply
    8,388,175x = 18,346,364 × 18,346,364
  4. Step 4: Simplify right side
    8,388,175x = 336,589,072,020,496
  5. Step 5: Solve for x
    x = 336,589,072,020,496/8,388,175
  6. Step 6: Final answer
    x = 40,126,615.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.