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Finding the Third Proportional to 5,575,344.75 and 7,851,431.25

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Solution

The third proportional to 5,575,344.75 and 7,851,431.25 is: 11,056,710.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,575,344.75 : 7,851,431.25 = 7,851,431.25 : x
  2. Step 2: Convert to fraction form
    5,575,344.75/7,851,431.25 = 7,851,431.25/x
  3. Step 3: Cross multiply
    5,575,344.75x = 7,851,431.25 × 7,851,431.25
  4. Step 4: Simplify right side
    5,575,344.75x = 61,644,972,673,476.56
  5. Step 5: Solve for x
    x = 61,644,972,673,476.56/5,575,344.75
  6. Step 6: Final answer
    x = 11,056,710.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.