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Finding the Third Proportional to 241,805,067.75 and 524,663,947.69

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Solution

The third proportional to 241,805,067.75 and 524,663,947.69 is: 1,138,405,661.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,805,067.75 : 524,663,947.69 = 524,663,947.69 : x
  2. Step 2: Convert to fraction form
    241,805,067.75/524,663,947.69 = 524,663,947.69/x
  3. Step 3: Cross multiply
    241,805,067.75x = 524,663,947.69 × 524,663,947.69
  4. Step 4: Simplify right side
    241,805,067.75x = 275,272,258,003,031,744
  5. Step 5: Solve for x
    x = 275,272,258,003,031,744/241,805,067.75
  6. Step 6: Final answer
    x = 1,138,405,661.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.