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Finding the Third Proportional to 2,323,272.66 and 5,032,601.44

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Solution

The third proportional to 2,323,272.66 and 5,032,601.44 is: 10,901,465.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323,272.66 : 5,032,601.44 = 5,032,601.44 : x
  2. Step 2: Convert to fraction form
    2,323,272.66/5,032,601.44 = 5,032,601.44/x
  3. Step 3: Cross multiply
    2,323,272.66x = 5,032,601.44 × 5,032,601.44
  4. Step 4: Simplify right side
    2,323,272.66x = 25,327,077,228,727.07
  5. Step 5: Solve for x
    x = 25,327,077,228,727.07/2,323,272.66
  6. Step 6: Final answer
    x = 10,901,465.72

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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.