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Finding the Third Proportional to 40,348,783.13 and 83,568,573.28

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Solution

The third proportional to 40,348,783.13 and 83,568,573.28 is: 173,083,446.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,348,783.13 : 83,568,573.28 = 83,568,573.28 : x
  2. Step 2: Convert to fraction form
    40,348,783.13/83,568,573.28 = 83,568,573.28/x
  3. Step 3: Cross multiply
    40,348,783.13x = 83,568,573.28 × 83,568,573.28
  4. Step 4: Simplify right side
    40,348,783.13x = 6,983,706,440,263,651
  5. Step 5: Solve for x
    x = 6,983,706,440,263,651/40,348,783.13
  6. Step 6: Final answer
    x = 173,083,446.37

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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.