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Finding the Third Proportional to 2,166,390.56 and 4,640,191.31

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Solution

The third proportional to 2,166,390.56 and 4,640,191.31 is: 9,938,824.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166,390.56 : 4,640,191.31 = 4,640,191.31 : x
  2. Step 2: Convert to fraction form
    2,166,390.56/4,640,191.31 = 4,640,191.31/x
  3. Step 3: Cross multiply
    2,166,390.56x = 4,640,191.31 × 4,640,191.31
  4. Step 4: Simplify right side
    2,166,390.56x = 21,531,375,416,600.47
  5. Step 5: Solve for x
    x = 21,531,375,416,600.47/2,166,390.56
  6. Step 6: Final answer
    x = 9,938,824.42

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Why These Related Problems?

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