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Finding the Third Proportional to 64,101,600 and 151,168,032

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Solution

The third proportional to 64,101,600 and 151,168,032 is: 356,493,034.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,101,600 : 151,168,032 = 151,168,032 : x
  2. Step 2: Convert to fraction form
    64,101,600/151,168,032 = 151,168,032/x
  3. Step 3: Cross multiply
    64,101,600x = 151,168,032 × 151,168,032
  4. Step 4: Simplify right side
    64,101,600x = 22,851,773,898,753,024
  5. Step 5: Solve for x
    x = 22,851,773,898,753,024/64,101,600
  6. Step 6: Final answer
    x = 356,493,034.48

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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.