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Finding the Third Proportional to 3,856,317,357 and 5,430,544,614

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Solution

The third proportional to 3,856,317,357 and 5,430,544,614 is: 7,647,403,487.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856,317,357 : 5,430,544,614 = 5,430,544,614 : x
  2. Step 2: Convert to fraction form
    3,856,317,357/5,430,544,614 = 5,430,544,614/x
  3. Step 3: Cross multiply
    3,856,317,357x = 5,430,544,614 × 5,430,544,614
  4. Step 4: Simplify right side
    3,856,317,357x = 29,490,814,804,644,409,344
  5. Step 5: Solve for x
    x = 29,490,814,804,644,409,344/3,856,317,357
  6. Step 6: Final answer
    x = 7,647,403,487.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.