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Finding the Third Proportional to 2,558,095,212 and 5,597,616,192

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Solution

The third proportional to 2,558,095,212 and 5,597,616,192 is: 12,248,686,790.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558,095,212 : 5,597,616,192 = 5,597,616,192 : x
  2. Step 2: Convert to fraction form
    2,558,095,212/5,597,616,192 = 5,597,616,192/x
  3. Step 3: Cross multiply
    2,558,095,212x = 5,597,616,192 × 5,597,616,192
  4. Step 4: Simplify right side
    2,558,095,212x = 31,333,307,032,940,580,864
  5. Step 5: Solve for x
    x = 31,333,307,032,940,580,864/2,558,095,212
  6. Step 6: Final answer
    x = 12,248,686,790.84

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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.