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Finding the Third Proportional to 14,531,982 and 31,150,404

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Solution

The third proportional to 14,531,982 and 31,150,404 is: 66,773,250.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,531,982 : 31,150,404 = 31,150,404 : x
  2. Step 2: Convert to fraction form
    14,531,982/31,150,404 = 31,150,404/x
  3. Step 3: Cross multiply
    14,531,982x = 31,150,404 × 31,150,404
  4. Step 4: Simplify right side
    14,531,982x = 970,347,669,363,216
  5. Step 5: Solve for x
    x = 970,347,669,363,216/14,531,982
  6. Step 6: Final answer
    x = 66,773,250.16

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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.