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Finding the Third Proportional to 3,274,316 and 6,887,965

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Solution

The third proportional to 3,274,316 and 6,887,965 is: 14,489,762.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274,316 : 6,887,965 = 6,887,965 : x
  2. Step 2: Convert to fraction form
    3,274,316/6,887,965 = 6,887,965/x
  3. Step 3: Cross multiply
    3,274,316x = 6,887,965 × 6,887,965
  4. Step 4: Simplify right side
    3,274,316x = 47,444,061,841,225
  5. Step 5: Solve for x
    x = 47,444,061,841,225/3,274,316
  6. Step 6: Final answer
    x = 14,489,762.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.