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Finding the Third Proportional to 50,886,626,216 and 111,867,708,517

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Solution

The third proportional to 50,886,626,216 and 111,867,708,517 is: 245,926,781,542.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,886,626,216 : 111,867,708,517 = 111,867,708,517 : x
  2. Step 2: Convert to fraction form
    50,886,626,216/111,867,708,517 = 111,867,708,517/x
  3. Step 3: Cross multiply
    50,886,626,216x = 111,867,708,517 × 111,867,708,517
  4. Step 4: Simplify right side
    50,886,626,216x = 12,514,384,208,844,474,548,224
  5. Step 5: Solve for x
    x = 12,514,384,208,844,474,548,224/50,886,626,216
  6. Step 6: Final answer
    x = 245,926,781,542.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.