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Finding the Third Proportional to 14,392,016 and 31,175,520

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Solution

The third proportional to 14,392,016 and 31,175,520 is: 67,531,404.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,392,016 : 31,175,520 = 31,175,520 : x
  2. Step 2: Convert to fraction form
    14,392,016/31,175,520 = 31,175,520/x
  3. Step 3: Cross multiply
    14,392,016x = 31,175,520 × 31,175,520
  4. Step 4: Simplify right side
    14,392,016x = 971,913,047,270,400
  5. Step 5: Solve for x
    x = 971,913,047,270,400/14,392,016
  6. Step 6: Final answer
    x = 67,531,404.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.