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Finding the Third Proportional to 22,201,235,849 and 47,940,963,659.50

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Solution

The third proportional to 22,201,235,849 and 47,940,963,659.50 is: 103,522,885,493.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,201,235,849 : 47,940,963,659.50 = 47,940,963,659.50 : x
  2. Step 2: Convert to fraction form
    22,201,235,849/47,940,963,659.50 = 47,940,963,659.50/x
  3. Step 3: Cross multiply
    22,201,235,849x = 47,940,963,659.50 × 47,940,963,659.50
  4. Step 4: Simplify right side
    22,201,235,849x = 2,298,335,996,601,499,648,000
  5. Step 5: Solve for x
    x = 2,298,335,996,601,499,648,000/22,201,235,849
  6. Step 6: Final answer
    x = 103,522,885,493.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.