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Finding the Third Proportional to 746,372,886 and 1,619,614,128

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Solution

The third proportional to 746,372,886 and 1,619,614,128 is: 3,514,530,032.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,372,886 : 1,619,614,128 = 1,619,614,128 : x
  2. Step 2: Convert to fraction form
    746,372,886/1,619,614,128 = 1,619,614,128/x
  3. Step 3: Cross multiply
    746,372,886x = 1,619,614,128 × 1,619,614,128
  4. Step 4: Simplify right side
    746,372,886x = 2,623,149,923,617,200,128
  5. Step 5: Solve for x
    x = 2,623,149,923,617,200,128/746,372,886
  6. Step 6: Final answer
    x = 3,514,530,032.94

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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.