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Finding the Third Proportional to 14,392,005.75 and 31,175,496

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Solution

The third proportional to 14,392,005.75 and 31,175,496 is: 67,531,348.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,392,005.75 : 31,175,496 = 31,175,496 : x
  2. Step 2: Convert to fraction form
    14,392,005.75/31,175,496 = 31,175,496/x
  3. Step 3: Cross multiply
    14,392,005.75x = 31,175,496 × 31,175,496
  4. Step 4: Simplify right side
    14,392,005.75x = 971,911,550,846,016
  5. Step 5: Solve for x
    x = 971,911,550,846,016/14,392,005.75
  6. Step 6: Final answer
    x = 67,531,348.15

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