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Finding the Third Proportional to 746,372,889 and 1,619,614,134

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Solution

The third proportional to 746,372,889 and 1,619,614,134 is: 3,514,530,044.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,372,889 : 1,619,614,134 = 1,619,614,134 : x
  2. Step 2: Convert to fraction form
    746,372,889/1,619,614,134 = 1,619,614,134/x
  3. Step 3: Cross multiply
    746,372,889x = 1,619,614,134 × 1,619,614,134
  4. Step 4: Simplify right side
    746,372,889x = 2,623,149,943,052,570,112
  5. Step 5: Solve for x
    x = 2,623,149,943,052,570,112/746,372,889
  6. Step 6: Final answer
    x = 3,514,530,044.85

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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.