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Finding the Third Proportional to 666,149,845 and 1,443,503,720

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Solution

The third proportional to 666,149,845 and 1,443,503,720 is: 3,127,979,395.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,149,845 : 1,443,503,720 = 1,443,503,720 : x
  2. Step 2: Convert to fraction form
    666,149,845/1,443,503,720 = 1,443,503,720/x
  3. Step 3: Cross multiply
    666,149,845x = 1,443,503,720 × 1,443,503,720
  4. Step 4: Simplify right side
    666,149,845x = 2,083,702,989,653,838,336
  5. Step 5: Solve for x
    x = 2,083,702,989,653,838,336/666,149,845
  6. Step 6: Final answer
    x = 3,127,979,395.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.