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Finding the Third Proportional to 618,923,961 and 925,932,024

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Solution

The third proportional to 618,923,961 and 925,932,024 is: 1,385,226,889.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,923,961 : 925,932,024 = 925,932,024 : x
  2. Step 2: Convert to fraction form
    618,923,961/925,932,024 = 925,932,024/x
  3. Step 3: Cross multiply
    618,923,961x = 925,932,024 × 925,932,024
  4. Step 4: Simplify right side
    618,923,961x = 857,350,113,068,736,512
  5. Step 5: Solve for x
    x = 857,350,113,068,736,512/618,923,961
  6. Step 6: Final answer
    x = 1,385,226,889.07

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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.