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Finding the Third Proportional to 4,606,666.88 and 7,225,841.25

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Solution

The third proportional to 4,606,666.88 and 7,225,841.25 is: 11,334,177.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606,666.88 : 7,225,841.25 = 7,225,841.25 : x
  2. Step 2: Convert to fraction form
    4,606,666.88/7,225,841.25 = 7,225,841.25/x
  3. Step 3: Cross multiply
    4,606,666.88x = 7,225,841.25 × 7,225,841.25
  4. Step 4: Simplify right side
    4,606,666.88x = 52,212,781,770,201.56
  5. Step 5: Solve for x
    x = 52,212,781,770,201.56/4,606,666.88
  6. Step 6: Final answer
    x = 11,334,177.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.