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Finding the Third Proportional to 7,530,770.25 and 16,398,470.25

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Solution

The third proportional to 7,530,770.25 and 16,398,470.25 is: 35,708,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530,770.25 : 16,398,470.25 = 16,398,470.25 : x
  2. Step 2: Convert to fraction form
    7,530,770.25/16,398,470.25 = 16,398,470.25/x
  3. Step 3: Cross multiply
    7,530,770.25x = 16,398,470.25 × 16,398,470.25
  4. Step 4: Simplify right side
    7,530,770.25x = 268,909,826,540,135.06
  5. Step 5: Solve for x
    x = 268,909,826,540,135.06/7,530,770.25
  6. Step 6: Final answer
    x = 35,708,143.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.