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Finding the Third Proportional to 12,485,972,292 and 29,464,659,789

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Solution

The third proportional to 12,485,972,292 and 29,464,659,789 is: 69,531,323,326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,485,972,292 : 29,464,659,789 = 29,464,659,789 : x
  2. Step 2: Convert to fraction form
    12,485,972,292/29,464,659,789 = 29,464,659,789/x
  3. Step 3: Cross multiply
    12,485,972,292x = 29,464,659,789 × 29,464,659,789
  4. Step 4: Simplify right side
    12,485,972,292x = 868,166,176,481,513,570,304
  5. Step 5: Solve for x
    x = 868,166,176,481,513,570,304/12,485,972,292
  6. Step 6: Final answer
    x = 69,531,323,326.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.