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Finding the Third Proportional to 325,678,016 and 702,372,928

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Solution

The third proportional to 325,678,016 and 702,372,928 is: 1,514,771,356.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,678,016 : 702,372,928 = 702,372,928 : x
  2. Step 2: Convert to fraction form
    325,678,016/702,372,928 = 702,372,928/x
  3. Step 3: Cross multiply
    325,678,016x = 702,372,928 × 702,372,928
  4. Step 4: Simplify right side
    325,678,016x = 493,327,729,987,293,184
  5. Step 5: Solve for x
    x = 493,327,729,987,293,184/325,678,016
  6. Step 6: Final answer
    x = 1,514,771,356.22

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Why These Related Problems?

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