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Finding the Third Proportional to 2,505,299.63 and 5,364,883.13

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Solution

The third proportional to 2,505,299.63 and 5,364,883.13 is: 11,488,434.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505,299.63 : 5,364,883.13 = 5,364,883.13 : x
  2. Step 2: Convert to fraction form
    2,505,299.63/5,364,883.13 = 5,364,883.13/x
  3. Step 3: Cross multiply
    2,505,299.63x = 5,364,883.13 × 5,364,883.13
  4. Step 4: Simplify right side
    2,505,299.63x = 28,781,970,944,909.77
  5. Step 5: Solve for x
    x = 28,781,970,944,909.77/2,505,299.63
  6. Step 6: Final answer
    x = 11,488,434.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.