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Finding the Third Proportional to 47,816,413,196 and 104,640,390,488

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Solution

The third proportional to 47,816,413,196 and 104,640,390,488 is: 228,992,736,795.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,816,413,196 : 104,640,390,488 = 104,640,390,488 : x
  2. Step 2: Convert to fraction form
    47,816,413,196/104,640,390,488 = 104,640,390,488/x
  3. Step 3: Cross multiply
    47,816,413,196x = 104,640,390,488 × 104,640,390,488
  4. Step 4: Simplify right side
    47,816,413,196x = 10,949,611,321,481,121,234,944
  5. Step 5: Solve for x
    x = 10,949,611,321,481,121,234,944/47,816,413,196
  6. Step 6: Final answer
    x = 228,992,736,795.18

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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.