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Finding the Third Proportional to 22,908,609 and 49,401,987.75

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Solution

The third proportional to 22,908,609 and 49,401,987.75 is: 106,534,464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,908,609 : 49,401,987.75 = 49,401,987.75 : x
  2. Step 2: Convert to fraction form
    22,908,609/49,401,987.75 = 49,401,987.75/x
  3. Step 3: Cross multiply
    22,908,609x = 49,401,987.75 × 49,401,987.75
  4. Step 4: Simplify right side
    22,908,609x = 2,440,556,393,651,150
  5. Step 5: Solve for x
    x = 2,440,556,393,651,150/22,908,609
  6. Step 6: Final answer
    x = 106,534,464.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.