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Finding the Third Proportional to 543,257,181 and 1,176,765,063

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Solution

The third proportional to 543,257,181 and 1,176,765,063 is: 2,549,024,774.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,257,181 : 1,176,765,063 = 1,176,765,063 : x
  2. Step 2: Convert to fraction form
    543,257,181/1,176,765,063 = 1,176,765,063/x
  3. Step 3: Cross multiply
    543,257,181x = 1,176,765,063 × 1,176,765,063
  4. Step 4: Simplify right side
    543,257,181x = 1,384,776,013,497,393,920
  5. Step 5: Solve for x
    x = 1,384,776,013,497,393,920/543,257,181
  6. Step 6: Final answer
    x = 2,549,024,774.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.