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Finding the Third Proportional to 6,317,556.75 and 9,774,010.13

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Solution

The third proportional to 6,317,556.75 and 9,774,010.13 is: 15,121,553.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317,556.75 : 9,774,010.13 = 9,774,010.13 : x
  2. Step 2: Convert to fraction form
    6,317,556.75/9,774,010.13 = 9,774,010.13/x
  3. Step 3: Cross multiply
    6,317,556.75x = 9,774,010.13 × 9,774,010.13
  4. Step 4: Simplify right side
    6,317,556.75x = 95,531,273,923,602.52
  5. Step 5: Solve for x
    x = 95,531,273,923,602.52/6,317,556.75
  6. Step 6: Final answer
    x = 15,121,553.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.