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Finding the Third Proportional to 616,591,467 and 1,455,045,519

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Solution

The third proportional to 616,591,467 and 1,455,045,519 is: 3,433,647,034.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,591,467 : 1,455,045,519 = 1,455,045,519 : x
  2. Step 2: Convert to fraction form
    616,591,467/1,455,045,519 = 1,455,045,519/x
  3. Step 3: Cross multiply
    616,591,467x = 1,455,045,519 × 1,455,045,519
  4. Step 4: Simplify right side
    616,591,467x = 2,117,157,462,361,979,392
  5. Step 5: Solve for x
    x = 2,117,157,462,361,979,392/616,591,467
  6. Step 6: Final answer
    x = 3,433,647,034.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.