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Finding the Third Proportional to 7,987,749.19 and 17,495,979.75

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Solution

The third proportional to 7,987,749.19 and 17,495,979.75 is: 38,322,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987,749.19 : 17,495,979.75 = 17,495,979.75 : x
  2. Step 2: Convert to fraction form
    7,987,749.19/17,495,979.75 = 17,495,979.75/x
  3. Step 3: Cross multiply
    7,987,749.19x = 17,495,979.75 × 17,495,979.75
  4. Step 4: Simplify right side
    7,987,749.19x = 306,109,307,412,410.06
  5. Step 5: Solve for x
    x = 306,109,307,412,410.06/7,987,749.19
  6. Step 6: Final answer
    x = 38,322,348.41

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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.