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Finding the Third Proportional to 11,458,569 and 16,571,091

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Solution

The third proportional to 11,458,569 and 16,571,091 is: 23,964,690.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,458,569 : 16,571,091 = 16,571,091 : x
  2. Step 2: Convert to fraction form
    11,458,569/16,571,091 = 16,571,091/x
  3. Step 3: Cross multiply
    11,458,569x = 16,571,091 × 16,571,091
  4. Step 4: Simplify right side
    11,458,569x = 274,601,056,930,281
  5. Step 5: Solve for x
    x = 274,601,056,930,281/11,458,569
  6. Step 6: Final answer
    x = 23,964,690.26

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.