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Finding the Third Proportional to 4,556,544 and 9,702,048

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Solution

The third proportional to 4,556,544 and 9,702,048 is: 20,658,142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556,544 : 9,702,048 = 9,702,048 : x
  2. Step 2: Convert to fraction form
    4,556,544/9,702,048 = 9,702,048/x
  3. Step 3: Cross multiply
    4,556,544x = 9,702,048 × 9,702,048
  4. Step 4: Simplify right side
    4,556,544x = 94,129,735,394,304
  5. Step 5: Solve for x
    x = 94,129,735,394,304/4,556,544
  6. Step 6: Final answer
    x = 20,658,142.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.