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Finding the Third Proportional to 6,965,720 and 14,774,275

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Solution

The third proportional to 6,965,720 and 14,774,275 is: 31,336,200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965,720 : 14,774,275 = 14,774,275 : x
  2. Step 2: Convert to fraction form
    6,965,720/14,774,275 = 14,774,275/x
  3. Step 3: Cross multiply
    6,965,720x = 14,774,275 × 14,774,275
  4. Step 4: Simplify right side
    6,965,720x = 218,279,201,775,625
  5. Step 5: Solve for x
    x = 218,279,201,775,625/6,965,720
  6. Step 6: Final answer
    x = 31,336,200.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.