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Finding the Third Proportional to 3,031,596 and 6,483,257

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Solution

The third proportional to 3,031,596 and 6,483,257 is: 13,864,849.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031,596 : 6,483,257 = 6,483,257 : x
  2. Step 2: Convert to fraction form
    3,031,596/6,483,257 = 6,483,257/x
  3. Step 3: Cross multiply
    3,031,596x = 6,483,257 × 6,483,257
  4. Step 4: Simplify right side
    3,031,596x = 42,032,621,328,049
  5. Step 5: Solve for x
    x = 42,032,621,328,049/3,031,596
  6. Step 6: Final answer
    x = 13,864,849.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.