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Finding the Third Proportional to 5,269,851.14 and 7,860,911.41

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Solution

The third proportional to 5,269,851.14 and 7,860,911.41 is: 11,725,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269,851.14 : 7,860,911.41 = 7,860,911.41 : x
  2. Step 2: Convert to fraction form
    5,269,851.14/7,860,911.41 = 7,860,911.41/x
  3. Step 3: Cross multiply
    5,269,851.14x = 7,860,911.41 × 7,860,911.41
  4. Step 4: Simplify right side
    5,269,851.14x = 61,793,928,259,736.52
  5. Step 5: Solve for x
    x = 61,793,928,259,736.52/5,269,851.14
  6. Step 6: Final answer
    x = 11,725,934.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.