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Finding the Third Proportional to 2,601,046,876 and 3,962,549,118

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Solution

The third proportional to 2,601,046,876 and 3,962,549,118 is: 6,036,721,466.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601,046,876 : 3,962,549,118 = 3,962,549,118 : x
  2. Step 2: Convert to fraction form
    2,601,046,876/3,962,549,118 = 3,962,549,118/x
  3. Step 3: Cross multiply
    2,601,046,876x = 3,962,549,118 × 3,962,549,118
  4. Step 4: Simplify right side
    2,601,046,876x = 15,701,795,512,562,577,408
  5. Step 5: Solve for x
    x = 15,701,795,512,562,577,408/2,601,046,876
  6. Step 6: Final answer
    x = 6,036,721,466.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.