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Finding the Third Proportional to 22,116,748,950 and 48,741,595,673.25

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Solution

The third proportional to 22,116,748,950 and 48,741,595,673.25 is: 107,418,280,785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,116,748,950 : 48,741,595,673.25 = 48,741,595,673.25 : x
  2. Step 2: Convert to fraction form
    22,116,748,950/48,741,595,673.25 = 48,741,595,673.25/x
  3. Step 3: Cross multiply
    22,116,748,950x = 48,741,595,673.25 × 48,741,595,673.25
  4. Step 4: Simplify right side
    22,116,748,950x = 2,375,743,148,774,583,173,120
  5. Step 5: Solve for x
    x = 2,375,743,148,774,583,173,120/22,116,748,950
  6. Step 6: Final answer
    x = 107,418,280,785.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.