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Finding the Third Proportional to 14,522,824 and 31,286,328

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Solution

The third proportional to 14,522,824 and 31,286,328 is: 67,399,723.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,522,824 : 31,286,328 = 31,286,328 : x
  2. Step 2: Convert to fraction form
    14,522,824/31,286,328 = 31,286,328/x
  3. Step 3: Cross multiply
    14,522,824x = 31,286,328 × 31,286,328
  4. Step 4: Simplify right side
    14,522,824x = 978,834,319,723,584
  5. Step 5: Solve for x
    x = 978,834,319,723,584/14,522,824
  6. Step 6: Final answer
    x = 67,399,723.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.