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Finding the Third Proportional to 7,750,650 and 16,685,836

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Solution

The third proportional to 7,750,650 and 16,685,836 is: 35,921,777.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750,650 : 16,685,836 = 16,685,836 : x
  2. Step 2: Convert to fraction form
    7,750,650/16,685,836 = 16,685,836/x
  3. Step 3: Cross multiply
    7,750,650x = 16,685,836 × 16,685,836
  4. Step 4: Simplify right side
    7,750,650x = 278,417,123,018,896
  5. Step 5: Solve for x
    x = 278,417,123,018,896/7,750,650
  6. Step 6: Final answer
    x = 35,921,777.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.