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Finding the Third Proportional to 870,824,997 and 1,880,179,326

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Solution

The third proportional to 870,824,997 and 1,880,179,326 is: 4,059,454,322.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,824,997 : 1,880,179,326 = 1,880,179,326 : x
  2. Step 2: Convert to fraction form
    870,824,997/1,880,179,326 = 1,880,179,326/x
  3. Step 3: Cross multiply
    870,824,997x = 1,880,179,326 × 1,880,179,326
  4. Step 4: Simplify right side
    870,824,997x = 3,535,074,297,917,814,272
  5. Step 5: Solve for x
    x = 3,535,074,297,917,814,272/870,824,997
  6. Step 6: Final answer
    x = 4,059,454,322.16

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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.