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Finding the Third Proportional to 47,816,413,194 and 104,640,390,484

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Solution

The third proportional to 47,816,413,194 and 104,640,390,484 is: 228,992,736,787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,816,413,194 : 104,640,390,484 = 104,640,390,484 : x
  2. Step 2: Convert to fraction form
    47,816,413,194/104,640,390,484 = 104,640,390,484/x
  3. Step 3: Cross multiply
    47,816,413,194x = 104,640,390,484 × 104,640,390,484
  4. Step 4: Simplify right side
    47,816,413,194x = 10,949,611,320,643,996,876,800
  5. Step 5: Solve for x
    x = 10,949,611,320,643,996,876,800/47,816,413,194
  6. Step 6: Final answer
    x = 228,992,736,787.25

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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.