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Finding the Third Proportional to 5,384,690,196.75 and 8,271,543,430.13

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Solution

The third proportional to 5,384,690,196.75 and 8,271,543,430.13 is: 12,706,103,455.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384,690,196.75 : 8,271,543,430.13 = 8,271,543,430.13 : x
  2. Step 2: Convert to fraction form
    5,384,690,196.75/8,271,543,430.13 = 8,271,543,430.13/x
  3. Step 3: Cross multiply
    5,384,690,196.75x = 8,271,543,430.13 × 8,271,543,430.13
  4. Step 4: Simplify right side
    5,384,690,196.75x = 68,418,430,716,444,049,408
  5. Step 5: Solve for x
    x = 68,418,430,716,444,049,408/5,384,690,196.75
  6. Step 6: Final answer
    x = 12,706,103,455.63

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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.