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Finding the Third Proportional to 8,643,233,472.75 and 20,007,839,743.88

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Solution

The third proportional to 8,643,233,472.75 and 20,007,839,743.88 is: 46,315,265,285.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643,233,472.75 : 20,007,839,743.88 = 20,007,839,743.88 : x
  2. Step 2: Convert to fraction form
    8,643,233,472.75/20,007,839,743.88 = 20,007,839,743.88/x
  3. Step 3: Cross multiply
    8,643,233,472.75x = 20,007,839,743.88 × 20,007,839,743.88
  4. Step 4: Simplify right side
    8,643,233,472.75x = 400,313,651,216,584,015,872
  5. Step 5: Solve for x
    x = 400,313,651,216,584,015,872/8,643,233,472.75
  6. Step 6: Final answer
    x = 46,315,265,285.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.