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Finding the Third Proportional to 40,348,827 and 83,568,672

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Solution

The third proportional to 40,348,827 and 83,568,672 is: 173,083,667.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,348,827 : 83,568,672 = 83,568,672 : x
  2. Step 2: Convert to fraction form
    40,348,827/83,568,672 = 83,568,672/x
  3. Step 3: Cross multiply
    40,348,827x = 83,568,672 × 83,568,672
  4. Step 4: Simplify right side
    40,348,827x = 6,983,722,939,843,584
  5. Step 5: Solve for x
    x = 6,983,722,939,843,584/40,348,827
  6. Step 6: Final answer
    x = 173,083,667.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.