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Finding the Third Proportional to 9,503,686 and 14,722,458.50

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Solution

The third proportional to 9,503,686 and 14,722,458.50 is: 22,807,022.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503,686 : 14,722,458.50 = 14,722,458.50 : x
  2. Step 2: Convert to fraction form
    9,503,686/14,722,458.50 = 14,722,458.50/x
  3. Step 3: Cross multiply
    9,503,686x = 14,722,458.50 × 14,722,458.50
  4. Step 4: Simplify right side
    9,503,686x = 216,750,784,284,222.25
  5. Step 5: Solve for x
    x = 216,750,784,284,222.25/9,503,686
  6. Step 6: Final answer
    x = 22,807,022.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.