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Finding the Third Proportional to 3,149,685 and 6,745,491

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Solution

The third proportional to 3,149,685 and 6,745,491 is: 14,446,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149,685 : 6,745,491 = 6,745,491 : x
  2. Step 2: Convert to fraction form
    3,149,685/6,745,491 = 6,745,491/x
  3. Step 3: Cross multiply
    3,149,685x = 6,745,491 × 6,745,491
  4. Step 4: Simplify right side
    3,149,685x = 45,501,648,831,081
  5. Step 5: Solve for x
    x = 45,501,648,831,081/3,149,685
  6. Step 6: Final answer
    x = 14,446,412.52

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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.