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Finding the Third Proportional to 7,880,400 and 17,255,484

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Solution

The third proportional to 7,880,400 and 17,255,484 is: 37,783,834.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880,400 : 17,255,484 = 17,255,484 : x
  2. Step 2: Convert to fraction form
    7,880,400/17,255,484 = 17,255,484/x
  3. Step 3: Cross multiply
    7,880,400x = 17,255,484 × 17,255,484
  4. Step 4: Simplify right side
    7,880,400x = 297,751,728,074,256
  5. Step 5: Solve for x
    x = 297,751,728,074,256/7,880,400
  6. Step 6: Final answer
    x = 37,783,834.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.