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Finding the Third Proportional to 5,801,332.64 and 12,294,209.11

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Solution

The third proportional to 5,801,332.64 and 12,294,209.11 is: 26,053,940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801,332.64 : 12,294,209.11 = 12,294,209.11 : x
  2. Step 2: Convert to fraction form
    5,801,332.64/12,294,209.11 = 12,294,209.11/x
  3. Step 3: Cross multiply
    5,801,332.64x = 12,294,209.11 × 12,294,209.11
  4. Step 4: Simplify right side
    5,801,332.64x = 151,147,577,625,039.22
  5. Step 5: Solve for x
    x = 151,147,577,625,039.22/5,801,332.64
  6. Step 6: Final answer
    x = 26,053,940.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.