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Finding the Third Proportional to 30,826,927.69 and 66,303,964.13

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Solution

The third proportional to 30,826,927.69 and 66,303,964.13 is: 142,609,594.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,826,927.69 : 66,303,964.13 = 66,303,964.13 : x
  2. Step 2: Convert to fraction form
    30,826,927.69/66,303,964.13 = 66,303,964.13/x
  3. Step 3: Cross multiply
    30,826,927.69x = 66,303,964.13 × 66,303,964.13
  4. Step 4: Simplify right side
    30,826,927.69x = 4,396,215,658,689,287
  5. Step 5: Solve for x
    x = 4,396,215,658,689,287/30,826,927.69
  6. Step 6: Final answer
    x = 142,609,594.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.