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Finding the Third Proportional to 14,630,510.25 and 31,836,584.25

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Solution

The third proportional to 14,630,510.25 and 31,836,584.25 is: 69,277,699.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,630,510.25 : 31,836,584.25 = 31,836,584.25 : x
  2. Step 2: Convert to fraction form
    14,630,510.25/31,836,584.25 = 31,836,584.25/x
  3. Step 3: Cross multiply
    14,630,510.25x = 31,836,584.25 × 31,836,584.25
  4. Step 4: Simplify right side
    14,630,510.25x = 1,013,568,096,707,348
  5. Step 5: Solve for x
    x = 1,013,568,096,707,348/14,630,510.25
  6. Step 6: Final answer
    x = 69,277,699.78

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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.