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Finding the Third Proportional to 21,943,624,059 and 48,079,520,298

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Solution

The third proportional to 21,943,624,059 and 48,079,520,298 is: 105,344,507,628.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,943,624,059 : 48,079,520,298 = 48,079,520,298 : x
  2. Step 2: Convert to fraction form
    21,943,624,059/48,079,520,298 = 48,079,520,298/x
  3. Step 3: Cross multiply
    21,943,624,059x = 48,079,520,298 × 48,079,520,298
  4. Step 4: Simplify right side
    21,943,624,059x = 2,311,640,272,085,793,898,496
  5. Step 5: Solve for x
    x = 2,311,640,272,085,793,898,496/21,943,624,059
  6. Step 6: Final answer
    x = 105,344,507,628.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.