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Finding the Third Proportional to 8,092,129.50 and 17,335,623

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Solution

The third proportional to 8,092,129.50 and 17,335,623 is: 37,137,792.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092,129.50 : 17,335,623 = 17,335,623 : x
  2. Step 2: Convert to fraction form
    8,092,129.50/17,335,623 = 17,335,623/x
  3. Step 3: Cross multiply
    8,092,129.50x = 17,335,623 × 17,335,623
  4. Step 4: Simplify right side
    8,092,129.50x = 300,523,824,798,129
  5. Step 5: Solve for x
    x = 300,523,824,798,129/8,092,129.50
  6. Step 6: Final answer
    x = 37,137,792.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.