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Finding the Third Proportional to 22,008,440,580 and 48,340,486,848

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Solution

The third proportional to 22,008,440,580 and 48,340,486,848 is: 106,177,566,747.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,008,440,580 : 48,340,486,848 = 48,340,486,848 : x
  2. Step 2: Convert to fraction form
    22,008,440,580/48,340,486,848 = 48,340,486,848/x
  3. Step 3: Cross multiply
    22,008,440,580x = 48,340,486,848 × 48,340,486,848
  4. Step 4: Simplify right side
    22,008,440,580x = 2,336,802,668,701,661,003,776
  5. Step 5: Solve for x
    x = 2,336,802,668,701,661,003,776/22,008,440,580
  6. Step 6: Final answer
    x = 106,177,566,747.97

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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.