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Finding the Third Proportional to 14,630,512 and 31,836,589

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Solution

The third proportional to 14,630,512 and 31,836,589 is: 69,277,712.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,630,512 : 31,836,589 = 31,836,589 : x
  2. Step 2: Convert to fraction form
    14,630,512/31,836,589 = 31,836,589/x
  3. Step 3: Cross multiply
    14,630,512x = 31,836,589 × 31,836,589
  4. Step 4: Simplify right side
    14,630,512x = 1,013,568,399,154,921
  5. Step 5: Solve for x
    x = 1,013,568,399,154,921/14,630,512
  6. Step 6: Final answer
    x = 69,277,712.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.