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Finding the Third Proportional to 3,743,602.69 and 5,750,631.66

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Solution

The third proportional to 3,743,602.69 and 5,750,631.66 is: 8,833,673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743,602.69 : 5,750,631.66 = 5,750,631.66 : x
  2. Step 2: Convert to fraction form
    3,743,602.69/5,750,631.66 = 5,750,631.66/x
  3. Step 3: Cross multiply
    3,743,602.69x = 5,750,631.66 × 5,750,631.66
  4. Step 4: Simplify right side
    3,743,602.69x = 33,069,764,445,864.62
  5. Step 5: Solve for x
    x = 33,069,764,445,864.62/3,743,602.69
  6. Step 6: Final answer
    x = 8,833,673.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.