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Finding the Third Proportional to 47,836,771,438 and 102,496,805,079

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Solution

The third proportional to 47,836,771,438 and 102,496,805,079 is: 219,613,379,741.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,836,771,438 : 102,496,805,079 = 102,496,805,079 : x
  2. Step 2: Convert to fraction form
    47,836,771,438/102,496,805,079 = 102,496,805,079/x
  3. Step 3: Cross multiply
    47,836,771,438x = 102,496,805,079 × 102,496,805,079
  4. Step 4: Simplify right side
    47,836,771,438x = 10,505,595,051,402,520,952,832
  5. Step 5: Solve for x
    x = 10,505,595,051,402,520,952,832/47,836,771,438
  6. Step 6: Final answer
    x = 219,613,379,741.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.