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Finding the Third Proportional to 6,302,796 and 9,777,933

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Solution

The third proportional to 6,302,796 and 9,777,933 is: 15,169,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302,796 : 9,777,933 = 9,777,933 : x
  2. Step 2: Convert to fraction form
    6,302,796/9,777,933 = 9,777,933/x
  3. Step 3: Cross multiply
    6,302,796x = 9,777,933 × 9,777,933
  4. Step 4: Simplify right side
    6,302,796x = 95,607,973,752,489
  5. Step 5: Solve for x
    x = 95,607,973,752,489/6,302,796
  6. Step 6: Final answer
    x = 15,169,136.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.