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Finding the Third Proportional to 8,202,501 and 17,949,003.75

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Solution

The third proportional to 8,202,501 and 17,949,003.75 is: 39,276,646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202,501 : 17,949,003.75 = 17,949,003.75 : x
  2. Step 2: Convert to fraction form
    8,202,501/17,949,003.75 = 17,949,003.75/x
  3. Step 3: Cross multiply
    8,202,501x = 17,949,003.75 × 17,949,003.75
  4. Step 4: Simplify right side
    8,202,501x = 322,166,735,617,514.06
  5. Step 5: Solve for x
    x = 322,166,735,617,514.06/8,202,501
  6. Step 6: Final answer
    x = 39,276,646.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.