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Finding the Third Proportional to 64,646,356,014 and 151,043,057,302.50

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Solution

The third proportional to 64,646,356,014 and 151,043,057,302.50 is: 352,904,735,331.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,646,356,014 : 151,043,057,302.50 = 151,043,057,302.50 : x
  2. Step 2: Convert to fraction form
    64,646,356,014/151,043,057,302.50 = 151,043,057,302.50/x
  3. Step 3: Cross multiply
    64,646,356,014x = 151,043,057,302.50 × 151,043,057,302.50
  4. Step 4: Simplify right side
    64,646,356,014x = 22,814,005,159,286,297,067,520
  5. Step 5: Solve for x
    x = 22,814,005,159,286,297,067,520/64,646,356,014
  6. Step 6: Final answer
    x = 352,904,735,331.81

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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.