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Finding the Third Proportional to 7,758,585 and 16,860,150

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Solution

The third proportional to 7,758,585 and 16,860,150 is: 36,638,724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758,585 : 16,860,150 = 16,860,150 : x
  2. Step 2: Convert to fraction form
    7,758,585/16,860,150 = 16,860,150/x
  3. Step 3: Cross multiply
    7,758,585x = 16,860,150 × 16,860,150
  4. Step 4: Simplify right side
    7,758,585x = 284,264,658,022,500
  5. Step 5: Solve for x
    x = 284,264,658,022,500/7,758,585
  6. Step 6: Final answer
    x = 36,638,724.46

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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.