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Finding the Third Proportional to 301,729,125,888 and 657,027,504,864

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Solution

The third proportional to 301,729,125,888 and 657,027,504,864 is: 1,430,704,247,981.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,729,125,888 : 657,027,504,864 = 657,027,504,864 : x
  2. Step 2: Convert to fraction form
    301,729,125,888/657,027,504,864 = 657,027,504,864/x
  3. Step 3: Cross multiply
    301,729,125,888x = 657,027,504,864 × 657,027,504,864
  4. Step 4: Simplify right side
    301,729,125,888x = 431,685,142,147,813,513,101,312
  5. Step 5: Solve for x
    x = 431,685,142,147,813,513,101,312/301,729,125,888
  6. Step 6: Final answer
    x = 1,430,704,247,981.86

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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.