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Finding the Third Proportional to 5,692,047.82 and 8,743,682.32

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Solution

The third proportional to 5,692,047.82 and 8,743,682.32 is: 13,431,366.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692,047.82 : 8,743,682.32 = 8,743,682.32 : x
  2. Step 2: Convert to fraction form
    5,692,047.82/8,743,682.32 = 8,743,682.32/x
  3. Step 3: Cross multiply
    5,692,047.82x = 8,743,682.32 × 8,743,682.32
  4. Step 4: Simplify right side
    5,692,047.82x = 76,451,980,518,545.39
  5. Step 5: Solve for x
    x = 76,451,980,518,545.39/5,692,047.82
  6. Step 6: Final answer
    x = 13,431,366.52

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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.