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Finding the Third Proportional to 47,816,413,186 and 104,640,390,475

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Solution

The third proportional to 47,816,413,186 and 104,640,390,475 is: 228,992,736,786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,816,413,186 : 104,640,390,475 = 104,640,390,475 : x
  2. Step 2: Convert to fraction form
    47,816,413,186/104,640,390,475 = 104,640,390,475/x
  3. Step 3: Cross multiply
    47,816,413,186x = 104,640,390,475 × 104,640,390,475
  4. Step 4: Simplify right side
    47,816,413,186x = 10,949,611,318,760,471,265,280
  5. Step 5: Solve for x
    x = 10,949,611,318,760,471,265,280/47,816,413,186
  6. Step 6: Final answer
    x = 228,992,736,786.17

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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.