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Finding the Third Proportional to 327,474,040 and 716,475,672

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Solution

The third proportional to 327,474,040 and 716,475,672 is: 1,567,566,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,474,040 : 716,475,672 = 716,475,672 : x
  2. Step 2: Convert to fraction form
    327,474,040/716,475,672 = 716,475,672/x
  3. Step 3: Cross multiply
    327,474,040x = 716,475,672 × 716,475,672
  4. Step 4: Simplify right side
    327,474,040x = 513,337,388,567,851,584
  5. Step 5: Solve for x
    x = 513,337,388,567,851,584/327,474,040
  6. Step 6: Final answer
    x = 1,567,566,664.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.