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Finding the Third Proportional to 323,095,968 and 501,238,032

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Solution

The third proportional to 323,095,968 and 501,238,032 is: 777,600,433.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,095,968 : 501,238,032 = 501,238,032 : x
  2. Step 2: Convert to fraction form
    323,095,968/501,238,032 = 501,238,032/x
  3. Step 3: Cross multiply
    323,095,968x = 501,238,032 × 501,238,032
  4. Step 4: Simplify right side
    323,095,968x = 251,239,564,723,233,024
  5. Step 5: Solve for x
    x = 251,239,564,723,233,024/323,095,968
  6. Step 6: Final answer
    x = 777,600,433.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.