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Finding the Third Proportional to 52,625,151,660 and 113,637,839,816

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Solution

The third proportional to 52,625,151,660 and 113,637,839,816 is: 245,387,580,476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,625,151,660 : 113,637,839,816 = 113,637,839,816 : x
  2. Step 2: Convert to fraction form
    52,625,151,660/113,637,839,816 = 113,637,839,816/x
  3. Step 3: Cross multiply
    52,625,151,660x = 113,637,839,816 × 113,637,839,816
  4. Step 4: Simplify right side
    52,625,151,660x = 12,913,558,638,046,874,697,728
  5. Step 5: Solve for x
    x = 12,913,558,638,046,874,697,728/52,625,151,660
  6. Step 6: Final answer
    x = 245,387,580,476.32

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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.