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Finding the Third Proportional to 4,749,975 and 10,172,556

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Solution

The third proportional to 4,749,975 and 10,172,556 is: 21,785,566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749,975 : 10,172,556 = 10,172,556 : x
  2. Step 2: Convert to fraction form
    4,749,975/10,172,556 = 10,172,556/x
  3. Step 3: Cross multiply
    4,749,975x = 10,172,556 × 10,172,556
  4. Step 4: Simplify right side
    4,749,975x = 103,480,895,573,136
  5. Step 5: Solve for x
    x = 103,480,895,573,136/4,749,975
  6. Step 6: Final answer
    x = 21,785,566.36

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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.