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Finding the Third Proportional to 48,269,786,976 and 103,916,700,000

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Solution

The third proportional to 48,269,786,976 and 103,916,700,000 is: 223,715,106,599.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,269,786,976 : 103,916,700,000 = 103,916,700,000 : x
  2. Step 2: Convert to fraction form
    48,269,786,976/103,916,700,000 = 103,916,700,000/x
  3. Step 3: Cross multiply
    48,269,786,976x = 103,916,700,000 × 103,916,700,000
  4. Step 4: Simplify right side
    48,269,786,976x = 10,798,680,538,889,999,876,096
  5. Step 5: Solve for x
    x = 10,798,680,538,889,999,876,096/48,269,786,976
  6. Step 6: Final answer
    x = 223,715,106,599.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.