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Finding the Third Proportional to 23,093,802 and 32,286,496.13

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Solution

The third proportional to 23,093,802 and 32,286,496.13 is: 45,138,424.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,093,802 : 32,286,496.13 = 32,286,496.13 : x
  2. Step 2: Convert to fraction form
    23,093,802/32,286,496.13 = 32,286,496.13/x
  3. Step 3: Cross multiply
    23,093,802x = 32,286,496.13 × 32,286,496.13
  4. Step 4: Simplify right side
    23,093,802x = 1,042,417,832,029,640
  5. Step 5: Solve for x
    x = 1,042,417,832,029,640/23,093,802
  6. Step 6: Final answer
    x = 45,138,424.24

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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.