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Finding the Third Proportional to 47,816,413,128 and 104,640,390,360

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Solution

The third proportional to 47,816,413,128 and 104,640,390,360 is: 228,992,736,560.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,816,413,128 : 104,640,390,360 = 104,640,390,360 : x
  2. Step 2: Convert to fraction form
    47,816,413,128/104,640,390,360 = 104,640,390,360/x
  3. Step 3: Cross multiply
    47,816,413,128x = 104,640,390,360 × 104,640,390,360
  4. Step 4: Simplify right side
    47,816,413,128x = 10,949,611,294,693,181,620,224
  5. Step 5: Solve for x
    x = 10,949,611,294,693,181,620,224/47,816,413,128
  6. Step 6: Final answer
    x = 228,992,736,560.61

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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.