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Finding the Third Proportional to 3,741,193,026 and 5,230,408,039

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Solution

The third proportional to 3,741,193,026 and 5,230,408,039 is: 7,312,418,275.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741,193,026 : 5,230,408,039 = 5,230,408,039 : x
  2. Step 2: Convert to fraction form
    3,741,193,026/5,230,408,039 = 5,230,408,039/x
  3. Step 3: Cross multiply
    3,741,193,026x = 5,230,408,039 × 5,230,408,039
  4. Step 4: Simplify right side
    3,741,193,026x = 27,357,168,254,435,823,616
  5. Step 5: Solve for x
    x = 27,357,168,254,435,823,616/3,741,193,026
  6. Step 6: Final answer
    x = 7,312,418,275.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.