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Finding the Third Proportional to 6,820,027.75 and 14,775,210

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Solution

The third proportional to 6,820,027.75 and 14,775,210 is: 32,009,668.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820,027.75 : 14,775,210 = 14,775,210 : x
  2. Step 2: Convert to fraction form
    6,820,027.75/14,775,210 = 14,775,210/x
  3. Step 3: Cross multiply
    6,820,027.75x = 14,775,210 × 14,775,210
  4. Step 4: Simplify right side
    6,820,027.75x = 218,306,830,544,100
  5. Step 5: Solve for x
    x = 218,306,830,544,100/6,820,027.75
  6. Step 6: Final answer
    x = 32,009,668.96

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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.