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Finding the Third Proportional to 7,758,661 and 16,860,282

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Solution

The third proportional to 7,758,661 and 16,860,282 is: 36,638,939.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758,661 : 16,860,282 = 16,860,282 : x
  2. Step 2: Convert to fraction form
    7,758,661/16,860,282 = 16,860,282/x
  3. Step 3: Cross multiply
    7,758,661x = 16,860,282 × 16,860,282
  4. Step 4: Simplify right side
    7,758,661x = 284,269,109,119,524
  5. Step 5: Solve for x
    x = 284,269,109,119,524/7,758,661
  6. Step 6: Final answer
    x = 36,638,939.26

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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.