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Finding the Third Proportional to 7,758,648 and 16,860,255.75

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Solution

The third proportional to 7,758,648 and 16,860,255.75 is: 36,638,886.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758,648 : 16,860,255.75 = 16,860,255.75 : x
  2. Step 2: Convert to fraction form
    7,758,648/16,860,255.75 = 16,860,255.75/x
  3. Step 3: Cross multiply
    7,758,648x = 16,860,255.75 × 16,860,255.75
  4. Step 4: Simplify right side
    7,758,648x = 284,268,223,955,408.06
  5. Step 5: Solve for x
    x = 284,268,223,955,408.06/7,758,648
  6. Step 6: Final answer
    x = 36,638,886.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.