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Finding the Third Proportional to 64,646,356,017 and 151,043,057,310

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Solution

The third proportional to 64,646,356,017 and 151,043,057,310 is: 352,904,735,350.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,646,356,017 : 151,043,057,310 = 151,043,057,310 : x
  2. Step 2: Convert to fraction form
    64,646,356,017/151,043,057,310 = 151,043,057,310/x
  3. Step 3: Cross multiply
    64,646,356,017x = 151,043,057,310 × 151,043,057,310
  4. Step 4: Simplify right side
    64,646,356,017x = 22,814,005,161,551,942,647,808
  5. Step 5: Solve for x
    x = 22,814,005,161,551,942,647,808/64,646,356,017
  6. Step 6: Final answer
    x = 352,904,735,350.48

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.