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Finding the Third Proportional to 9,584,845 and 14,477,057

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Solution

The third proportional to 9,584,845 and 14,477,057 is: 21,866,308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584,845 : 14,477,057 = 14,477,057 : x
  2. Step 2: Convert to fraction form
    9,584,845/14,477,057 = 14,477,057/x
  3. Step 3: Cross multiply
    9,584,845x = 14,477,057 × 14,477,057
  4. Step 4: Simplify right side
    9,584,845x = 209,585,179,381,249
  5. Step 5: Solve for x
    x = 209,585,179,381,249/9,584,845
  6. Step 6: Final answer
    x = 21,866,308.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.