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Finding the Third Proportional to 9,669,999 and 14,629,571.50

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Solution

The third proportional to 9,669,999 and 14,629,571.50 is: 22,132,821.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669,999 : 14,629,571.50 = 14,629,571.50 : x
  2. Step 2: Convert to fraction form
    9,669,999/14,629,571.50 = 14,629,571.50/x
  3. Step 3: Cross multiply
    9,669,999x = 14,629,571.50 × 14,629,571.50
  4. Step 4: Simplify right side
    9,669,999x = 214,024,362,273,612.25
  5. Step 5: Solve for x
    x = 214,024,362,273,612.25/9,669,999
  6. Step 6: Final answer
    x = 22,132,821.55

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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.