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Finding the Third Proportional to 465,581,682 and 647,354,187

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Solution

The third proportional to 465,581,682 and 647,354,187 is: 900,094,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,581,682 : 647,354,187 = 647,354,187 : x
  2. Step 2: Convert to fraction form
    465,581,682/647,354,187 = 647,354,187/x
  3. Step 3: Cross multiply
    465,581,682x = 647,354,187 × 647,354,187
  4. Step 4: Simplify right side
    465,581,682x = 419,067,443,426,430,976
  5. Step 5: Solve for x
    x = 419,067,443,426,430,976/465,581,682
  6. Step 6: Final answer
    x = 900,094,354.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.