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Finding the Third Proportional to 3,541,942,887 and 7,751,113,229

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Solution

The third proportional to 3,541,942,887 and 7,751,113,229 is: 16,962,372,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541,942,887 : 7,751,113,229 = 7,751,113,229 : x
  2. Step 2: Convert to fraction form
    3,541,942,887/7,751,113,229 = 7,751,113,229/x
  3. Step 3: Cross multiply
    3,541,942,887x = 7,751,113,229 × 7,751,113,229
  4. Step 4: Simplify right side
    3,541,942,887x = 60,079,756,288,778,805,248
  5. Step 5: Solve for x
    x = 60,079,756,288,778,805,248/3,541,942,887
  6. Step 6: Final answer
    x = 16,962,372,970.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.