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Finding the Third Proportional to 6,053,271,214 and 8,520,625,226

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Solution

The third proportional to 6,053,271,214 and 8,520,625,226 is: 11,993,689,308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,053,271,214 : 8,520,625,226 = 8,520,625,226 : x
  2. Step 2: Convert to fraction form
    6,053,271,214/8,520,625,226 = 8,520,625,226/x
  3. Step 3: Cross multiply
    6,053,271,214x = 8,520,625,226 × 8,520,625,226
  4. Step 4: Simplify right side
    6,053,271,214x = 72,601,054,241,947,549,696
  5. Step 5: Solve for x
    x = 72,601,054,241,947,549,696/6,053,271,214
  6. Step 6: Final answer
    x = 11,993,689,308.69

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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.