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Finding the Third Proportional to 408,816,752,844 and 889,621,069,848

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Solution

The third proportional to 408,816,752,844 and 889,621,069,848 is: 1,935,893,386,001.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,816,752,844 : 889,621,069,848 = 889,621,069,848 : x
  2. Step 2: Convert to fraction form
    408,816,752,844/889,621,069,848 = 889,621,069,848/x
  3. Step 3: Cross multiply
    408,816,752,844x = 889,621,069,848 × 889,621,069,848
  4. Step 4: Simplify right side
    408,816,752,844x = 791,425,647,917,500,056,207,360
  5. Step 5: Solve for x
    x = 791,425,647,917,500,056,207,360/408,816,752,844
  6. Step 6: Final answer
    x = 1,935,893,386,001.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.