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Finding the Third Proportional to 2,505,265.13 and 5,364,823.88

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Solution

The third proportional to 2,505,265.13 and 5,364,823.88 is: 11,488,339.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505,265.13 : 5,364,823.88 = 5,364,823.88 : x
  2. Step 2: Convert to fraction form
    2,505,265.13/5,364,823.88 = 5,364,823.88/x
  3. Step 3: Cross multiply
    2,505,265.13x = 5,364,823.88 × 5,364,823.88
  4. Step 4: Simplify right side
    2,505,265.13x = 28,781,335,209,770.02
  5. Step 5: Solve for x
    x = 28,781,335,209,770.02/2,505,265.13
  6. Step 6: Final answer
    x = 11,488,339.07

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