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Finding the Third Proportional to 47,816,413,182 and 104,640,390,468

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Solution

The third proportional to 47,816,413,182 and 104,640,390,468 is: 228,992,736,774.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,816,413,182 : 104,640,390,468 = 104,640,390,468 : x
  2. Step 2: Convert to fraction form
    47,816,413,182/104,640,390,468 = 104,640,390,468/x
  3. Step 3: Cross multiply
    47,816,413,182x = 104,640,390,468 × 104,640,390,468
  4. Step 4: Simplify right side
    47,816,413,182x = 10,949,611,317,295,505,735,680
  5. Step 5: Solve for x
    x = 10,949,611,317,295,505,735,680/47,816,413,182
  6. Step 6: Final answer
    x = 228,992,736,774.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.