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Finding the Third Proportional to 369,283,974 and 797,530,003

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Solution

The third proportional to 369,283,974 and 797,530,003 is: 1,722,398,345.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,283,974 : 797,530,003 = 797,530,003 : x
  2. Step 2: Convert to fraction form
    369,283,974/797,530,003 = 797,530,003/x
  3. Step 3: Cross multiply
    369,283,974x = 797,530,003 × 797,530,003
  4. Step 4: Simplify right side
    369,283,974x = 636,054,105,685,180,032
  5. Step 5: Solve for x
    x = 636,054,105,685,180,032/369,283,974
  6. Step 6: Final answer
    x = 1,722,398,345.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.