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Finding the Third Proportional to 6,781,900 and 9,486,232

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Solution

The third proportional to 6,781,900 and 9,486,232 is: 13,268,936.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781,900 : 9,486,232 = 9,486,232 : x
  2. Step 2: Convert to fraction form
    6,781,900/9,486,232 = 9,486,232/x
  3. Step 3: Cross multiply
    6,781,900x = 9,486,232 × 9,486,232
  4. Step 4: Simplify right side
    6,781,900x = 89,988,597,557,824
  5. Step 5: Solve for x
    x = 89,988,597,557,824/6,781,900
  6. Step 6: Final answer
    x = 13,268,936.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.