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Finding the Third Proportional to 22,599,833,823 and 37,212,990,121

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Solution

The third proportional to 22,599,833,823 and 37,212,990,121 is: 61,275,080,365.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,599,833,823 : 37,212,990,121 = 37,212,990,121 : x
  2. Step 2: Convert to fraction form
    22,599,833,823/37,212,990,121 = 37,212,990,121/x
  3. Step 3: Cross multiply
    22,599,833,823x = 37,212,990,121 × 37,212,990,121
  4. Step 4: Simplify right side
    22,599,833,823x = 1,384,806,633,745,643,470,848
  5. Step 5: Solve for x
    x = 1,384,806,633,745,643,470,848/22,599,833,823
  6. Step 6: Final answer
    x = 61,275,080,365.25

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.