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Finding the Third Proportional to 4,376,376.84 and 7,031,645.44

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Solution

The third proportional to 4,376,376.84 and 7,031,645.44 is: 11,297,938.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,376,376.84 : 7,031,645.44 = 7,031,645.44 : x
  2. Step 2: Convert to fraction form
    4,376,376.84/7,031,645.44 = 7,031,645.44/x
  3. Step 3: Cross multiply
    4,376,376.84x = 7,031,645.44 × 7,031,645.44
  4. Step 4: Simplify right side
    4,376,376.84x = 49,444,037,558,714.56
  5. Step 5: Solve for x
    x = 49,444,037,558,714.56/4,376,376.84
  6. Step 6: Final answer
    x = 11,297,938.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.