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Finding the Third Proportional to 5,960,405.25 and 12,830,536.69

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Solution

The third proportional to 5,960,405.25 and 12,830,536.69 is: 27,619,375.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960,405.25 : 12,830,536.69 = 12,830,536.69 : x
  2. Step 2: Convert to fraction form
    5,960,405.25/12,830,536.69 = 12,830,536.69/x
  3. Step 3: Cross multiply
    5,960,405.25x = 12,830,536.69 × 12,830,536.69
  4. Step 4: Simplify right side
    5,960,405.25x = 164,622,671,689,283.47
  5. Step 5: Solve for x
    x = 164,622,671,689,283.47/5,960,405.25
  6. Step 6: Final answer
    x = 27,619,375.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.