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Finding the Third Proportional to 23,286,783,143 and 50,653,651,468

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Solution

The third proportional to 23,286,783,143 and 50,653,651,468 is: 110,182,346,410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,286,783,143 : 50,653,651,468 = 50,653,651,468 : x
  2. Step 2: Convert to fraction form
    23,286,783,143/50,653,651,468 = 50,653,651,468/x
  3. Step 3: Cross multiply
    23,286,783,143x = 50,653,651,468 × 50,653,651,468
  4. Step 4: Simplify right side
    23,286,783,143x = 2,565,792,407,041,618,739,200
  5. Step 5: Solve for x
    x = 2,565,792,407,041,618,739,200/23,286,783,143
  6. Step 6: Final answer
    x = 110,182,346,410.22

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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.