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Finding the Third Proportional to 6,920,163 and 16,168,623.50

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Solution

The third proportional to 6,920,163 and 16,168,623.50 is: 37,777,200.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920,163 : 16,168,623.50 = 16,168,623.50 : x
  2. Step 2: Convert to fraction form
    6,920,163/16,168,623.50 = 16,168,623.50/x
  3. Step 3: Cross multiply
    6,920,163x = 16,168,623.50 × 16,168,623.50
  4. Step 4: Simplify right side
    6,920,163x = 261,424,385,884,752.25
  5. Step 5: Solve for x
    x = 261,424,385,884,752.25/6,920,163
  6. Step 6: Final answer
    x = 37,777,200.61

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.