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Finding the Third Proportional to 337,522,156 and 507,182,009

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Solution

The third proportional to 337,522,156 and 507,182,009 is: 762,123,569.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,522,156 : 507,182,009 = 507,182,009 : x
  2. Step 2: Convert to fraction form
    337,522,156/507,182,009 = 507,182,009/x
  3. Step 3: Cross multiply
    337,522,156x = 507,182,009 × 507,182,009
  4. Step 4: Simplify right side
    337,522,156x = 257,233,590,253,276,096
  5. Step 5: Solve for x
    x = 257,233,590,253,276,096/337,522,156
  6. Step 6: Final answer
    x = 762,123,569.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.