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Finding the Third Proportional to 7,652,680.50 and 16,650,512.63

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Solution

The third proportional to 7,652,680.50 and 16,650,512.63 is: 36,227,772.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652,680.50 : 16,650,512.63 = 16,650,512.63 : x
  2. Step 2: Convert to fraction form
    7,652,680.50/16,650,512.63 = 16,650,512.63/x
  3. Step 3: Cross multiply
    7,652,680.50x = 16,650,512.63 × 16,650,512.63
  4. Step 4: Simplify right side
    7,652,680.50x = 277,239,570,675,284.38
  5. Step 5: Solve for x
    x = 277,239,570,675,284.38/7,652,680.50
  6. Step 6: Final answer
    x = 36,227,772.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.