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Finding the Third Proportional to 40,348,819.13 and 83,568,673.13

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Solution

The third proportional to 40,348,819.13 and 83,568,673.13 is: 173,083,705.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,348,819.13 : 83,568,673.13 = 83,568,673.13 : x
  2. Step 2: Convert to fraction form
    40,348,819.13/83,568,673.13 = 83,568,673.13/x
  3. Step 3: Cross multiply
    40,348,819.13x = 83,568,673.13 × 83,568,673.13
  4. Step 4: Simplify right side
    40,348,819.13x = 6,983,723,127,873,097
  5. Step 5: Solve for x
    x = 6,983,723,127,873,097/40,348,819.13
  6. Step 6: Final answer
    x = 173,083,705.53

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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.