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Finding the Third Proportional to 12,502,416,362,832 and 27,081,865,711,728

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Solution

The third proportional to 12,502,416,362,832 and 27,081,865,711,728 is: 58,662,855,974,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502,416,362,832 : 27,081,865,711,728 = 27,081,865,711,728 : x
  2. Step 2: Convert to fraction form
    12,502,416,362,832/27,081,865,711,728 = 27,081,865,711,728/x
  3. Step 3: Cross multiply
    12,502,416,362,832x = 27,081,865,711,728 × 27,081,865,711,728
  4. Step 4: Simplify right side
    12,502,416,362,832x = 733,427,450,428,068,753,643,143,168
  5. Step 5: Solve for x
    x = 733,427,450,428,068,753,643,143,168/12,502,416,362,832
  6. Step 6: Final answer
    x = 58,662,855,974,661.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.