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Finding the Third Proportional to 56,100,720,708 and 123,421,474,206

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Solution

The third proportional to 56,100,720,708 and 123,421,474,206 is: 271,526,998,279.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,100,720,708 : 123,421,474,206 = 123,421,474,206 : x
  2. Step 2: Convert to fraction form
    56,100,720,708/123,421,474,206 = 123,421,474,206/x
  3. Step 3: Cross multiply
    56,100,720,708x = 123,421,474,206 × 123,421,474,206
  4. Step 4: Simplify right side
    56,100,720,708x = 15,232,860,295,182,323,548,160
  5. Step 5: Solve for x
    x = 15,232,860,295,182,323,548,160/56,100,720,708
  6. Step 6: Final answer
    x = 271,526,998,279.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.