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Finding the Third Proportional to 22,364,973.75 and 48,917,314.50

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Solution

The third proportional to 22,364,973.75 and 48,917,314.50 is: 106,993,358.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,364,973.75 : 48,917,314.50 = 48,917,314.50 : x
  2. Step 2: Convert to fraction form
    22,364,973.75/48,917,314.50 = 48,917,314.50/x
  3. Step 3: Cross multiply
    22,364,973.75x = 48,917,314.50 × 48,917,314.50
  4. Step 4: Simplify right side
    22,364,973.75x = 2,392,903,657,891,910
  5. Step 5: Solve for x
    x = 2,392,903,657,891,910/22,364,973.75
  6. Step 6: Final answer
    x = 106,993,358.66

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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.