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Finding the Third Proportional to 7,758,662 and 16,860,284

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Solution

The third proportional to 7,758,662 and 16,860,284 is: 36,638,943.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758,662 : 16,860,284 = 16,860,284 : x
  2. Step 2: Convert to fraction form
    7,758,662/16,860,284 = 16,860,284/x
  3. Step 3: Cross multiply
    7,758,662x = 16,860,284 × 16,860,284
  4. Step 4: Simplify right side
    7,758,662x = 284,269,176,560,656
  5. Step 5: Solve for x
    x = 284,269,176,560,656/7,758,662
  6. Step 6: Final answer
    x = 36,638,943.23

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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.