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Finding the Third Proportional to 9,557,794.50 and 14,157,441

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Solution

The third proportional to 9,557,794.50 and 14,157,441 is: 20,970,647.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,557,794.50 : 14,157,441 = 14,157,441 : x
  2. Step 2: Convert to fraction form
    9,557,794.50/14,157,441 = 14,157,441/x
  3. Step 3: Cross multiply
    9,557,794.50x = 14,157,441 × 14,157,441
  4. Step 4: Simplify right side
    9,557,794.50x = 200,433,135,668,481
  5. Step 5: Solve for x
    x = 200,433,135,668,481/9,557,794.50
  6. Step 6: Final answer
    x = 20,970,647.12

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.