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Finding the Third Proportional to 11,157,608,900.50 and 24,276,448,823

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Solution

The third proportional to 11,157,608,900.50 and 24,276,448,823 is: 52,820,095,480.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,157,608,900.50 : 24,276,448,823 = 24,276,448,823 : x
  2. Step 2: Convert to fraction form
    11,157,608,900.50/24,276,448,823 = 24,276,448,823/x
  3. Step 3: Cross multiply
    11,157,608,900.50x = 24,276,448,823 × 24,276,448,823
  4. Step 4: Simplify right side
    11,157,608,900.50x = 589,345,967,455,738,068,992
  5. Step 5: Solve for x
    x = 589,345,967,455,738,068,992/11,157,608,900.50
  6. Step 6: Final answer
    x = 52,820,095,480.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.