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Finding the Third Proportional to 48,269,786,979 and 103,916,700,006

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Solution

The third proportional to 48,269,786,979 and 103,916,700,006 is: 223,715,106,611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,269,786,979 : 103,916,700,006 = 103,916,700,006 : x
  2. Step 2: Convert to fraction form
    48,269,786,979/103,916,700,006 = 103,916,700,006/x
  3. Step 3: Cross multiply
    48,269,786,979x = 103,916,700,006 × 103,916,700,006
  4. Step 4: Simplify right side
    48,269,786,979x = 10,798,680,540,137,000,009,728
  5. Step 5: Solve for x
    x = 10,798,680,540,137,000,009,728/48,269,786,979
  6. Step 6: Final answer
    x = 223,715,106,611.82

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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.