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Finding the Third Proportional to 64,101,606 and 151,168,047

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Solution

The third proportional to 64,101,606 and 151,168,047 is: 356,493,071.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,101,606 : 151,168,047 = 151,168,047 : x
  2. Step 2: Convert to fraction form
    64,101,606/151,168,047 = 151,168,047/x
  3. Step 3: Cross multiply
    64,101,606x = 151,168,047 × 151,168,047
  4. Step 4: Simplify right side
    64,101,606x = 22,851,778,433,794,208
  5. Step 5: Solve for x
    x = 22,851,778,433,794,208/64,101,606
  6. Step 6: Final answer
    x = 356,493,071.86

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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.