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Finding the Third Proportional to 6,053,271,648.75 and 8,520,625,841.63

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Solution

The third proportional to 6,053,271,648.75 and 8,520,625,841.63 is: 11,993,690,180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,053,271,648.75 : 8,520,625,841.63 = 8,520,625,841.63 : x
  2. Step 2: Convert to fraction form
    6,053,271,648.75/8,520,625,841.63 = 8,520,625,841.63/x
  3. Step 3: Cross multiply
    6,053,271,648.75x = 8,520,625,841.63 × 8,520,625,841.63
  4. Step 4: Simplify right side
    6,053,271,648.75x = 72,601,064,732,967,739,392
  5. Step 5: Solve for x
    x = 72,601,064,732,967,739,392/6,053,271,648.75
  6. Step 6: Final answer
    x = 11,993,690,180.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.