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Finding the Third Proportional to 8,284,909.50 and 17,721,274.50

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Solution

The third proportional to 8,284,909.50 and 17,721,274.50 is: 37,905,491.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284,909.50 : 17,721,274.50 = 17,721,274.50 : x
  2. Step 2: Convert to fraction form
    8,284,909.50/17,721,274.50 = 17,721,274.50/x
  3. Step 3: Cross multiply
    8,284,909.50x = 17,721,274.50 × 17,721,274.50
  4. Step 4: Simplify right side
    8,284,909.50x = 314,043,569,904,350.25
  5. Step 5: Solve for x
    x = 314,043,569,904,350.25/8,284,909.50
  6. Step 6: Final answer
    x = 37,905,491.90

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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.