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Finding the Third Proportional to 7,758,657 and 16,860,273.75

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Solution

The third proportional to 7,758,657 and 16,860,273.75 is: 36,638,922.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758,657 : 16,860,273.75 = 16,860,273.75 : x
  2. Step 2: Convert to fraction form
    7,758,657/16,860,273.75 = 16,860,273.75/x
  3. Step 3: Cross multiply
    7,758,657x = 16,860,273.75 × 16,860,273.75
  4. Step 4: Simplify right side
    7,758,657x = 284,268,830,924,939.06
  5. Step 5: Solve for x
    x = 284,268,830,924,939.06/7,758,657
  6. Step 6: Final answer
    x = 36,638,922.29

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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.