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Finding the Third Proportional to 22,116,749,172 and 48,741,596,120

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Solution

The third proportional to 22,116,749,172 and 48,741,596,120 is: 107,418,281,676.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,116,749,172 : 48,741,596,120 = 48,741,596,120 : x
  2. Step 2: Convert to fraction form
    22,116,749,172/48,741,596,120 = 48,741,596,120/x
  3. Step 3: Cross multiply
    22,116,749,172x = 48,741,596,120 × 48,741,596,120
  4. Step 4: Simplify right side
    22,116,749,172x = 2,375,743,192,325,199,233,024
  5. Step 5: Solve for x
    x = 2,375,743,192,325,199,233,024/22,116,749,172
  6. Step 6: Final answer
    x = 107,418,281,676.45

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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.