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Finding the Third Proportional to 9,154,794 and 13,451,931

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Solution

The third proportional to 9,154,794 and 13,451,931 is: 19,766,086.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154,794 : 13,451,931 = 13,451,931 : x
  2. Step 2: Convert to fraction form
    9,154,794/13,451,931 = 13,451,931/x
  3. Step 3: Cross multiply
    9,154,794x = 13,451,931 × 13,451,931
  4. Step 4: Simplify right side
    9,154,794x = 180,954,447,628,761
  5. Step 5: Solve for x
    x = 180,954,447,628,761/9,154,794
  6. Step 6: Final answer
    x = 19,766,086.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.