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Finding the Third Proportional to 10,904,584.50 and 17,107,503.75

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Solution

The third proportional to 10,904,584.50 and 17,107,503.75 is: 26,838,866.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,904,584.50 : 17,107,503.75 = 17,107,503.75 : x
  2. Step 2: Convert to fraction form
    10,904,584.50/17,107,503.75 = 17,107,503.75/x
  3. Step 3: Cross multiply
    10,904,584.50x = 17,107,503.75 × 17,107,503.75
  4. Step 4: Simplify right side
    10,904,584.50x = 292,666,684,556,264.06
  5. Step 5: Solve for x
    x = 292,666,684,556,264.06/10,904,584.50
  6. Step 6: Final answer
    x = 26,838,866.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.