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Finding the Third Proportional to 22,987,269 and 49,097,565

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Solution

The third proportional to 22,987,269 and 49,097,565 is: 104,865,475.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,987,269 : 49,097,565 = 49,097,565 : x
  2. Step 2: Convert to fraction form
    22,987,269/49,097,565 = 49,097,565/x
  3. Step 3: Cross multiply
    22,987,269x = 49,097,565 × 49,097,565
  4. Step 4: Simplify right side
    22,987,269x = 2,410,570,888,929,225
  5. Step 5: Solve for x
    x = 2,410,570,888,929,225/22,987,269
  6. Step 6: Final answer
    x = 104,865,475.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.