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Finding the Third Proportional to 5,384,689,995 and 8,271,543,126

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Solution

The third proportional to 5,384,689,995 and 8,271,543,126 is: 12,706,102,997.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384,689,995 : 8,271,543,126 = 8,271,543,126 : x
  2. Step 2: Convert to fraction form
    5,384,689,995/8,271,543,126 = 8,271,543,126/x
  3. Step 3: Cross multiply
    5,384,689,995x = 8,271,543,126 × 8,271,543,126
  4. Step 4: Simplify right side
    5,384,689,995x = 68,418,425,685,277,851,648
  5. Step 5: Solve for x
    x = 68,418,425,685,277,851,648/5,384,689,995
  6. Step 6: Final answer
    x = 12,706,102,997.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.