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Finding the Third Proportional to 5,155,378 and 7,575,267

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Solution

The third proportional to 5,155,378 and 7,575,267 is: 11,131,030.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155,378 : 7,575,267 = 7,575,267 : x
  2. Step 2: Convert to fraction form
    5,155,378/7,575,267 = 7,575,267/x
  3. Step 3: Cross multiply
    5,155,378x = 7,575,267 × 7,575,267
  4. Step 4: Simplify right side
    5,155,378x = 57,384,670,121,289
  5. Step 5: Solve for x
    x = 57,384,670,121,289/5,155,378
  6. Step 6: Final answer
    x = 11,131,030.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.