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Finding the Third Proportional to 7,690,914 and 17,803,941

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Solution

The third proportional to 7,690,914 and 17,803,941 is: 41,214,908.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690,914 : 17,803,941 = 17,803,941 : x
  2. Step 2: Convert to fraction form
    7,690,914/17,803,941 = 17,803,941/x
  3. Step 3: Cross multiply
    7,690,914x = 17,803,941 × 17,803,941
  4. Step 4: Simplify right side
    7,690,914x = 316,980,315,131,481
  5. Step 5: Solve for x
    x = 316,980,315,131,481/7,690,914
  6. Step 6: Final answer
    x = 41,214,908.28

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.