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Finding the Third Proportional to 3,137,864 and 6,851,168

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Solution

The third proportional to 3,137,864 and 6,851,168 is: 14,958,743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137,864 : 6,851,168 = 6,851,168 : x
  2. Step 2: Convert to fraction form
    3,137,864/6,851,168 = 6,851,168/x
  3. Step 3: Cross multiply
    3,137,864x = 6,851,168 × 6,851,168
  4. Step 4: Simplify right side
    3,137,864x = 46,938,502,964,224
  5. Step 5: Solve for x
    x = 46,938,502,964,224/3,137,864
  6. Step 6: Final answer
    x = 14,958,743.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.