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Finding the Third Proportional to 64,005,008 and 138,018,016

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Solution

The third proportional to 64,005,008 and 138,018,016 is: 297,616,910.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,005,008 : 138,018,016 = 138,018,016 : x
  2. Step 2: Convert to fraction form
    64,005,008/138,018,016 = 138,018,016/x
  3. Step 3: Cross multiply
    64,005,008x = 138,018,016 × 138,018,016
  4. Step 4: Simplify right side
    64,005,008x = 19,048,972,740,576,256
  5. Step 5: Solve for x
    x = 19,048,972,740,576,256/64,005,008
  6. Step 6: Final answer
    x = 297,616,910.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.