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Finding the Third Proportional to 27,860,768,901 and 42,601,446,213.75

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Solution

The third proportional to 27,860,768,901 and 42,601,446,213.75 is: 65,141,174,888.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,860,768,901 : 42,601,446,213.75 = 42,601,446,213.75 : x
  2. Step 2: Convert to fraction form
    27,860,768,901/42,601,446,213.75 = 42,601,446,213.75/x
  3. Step 3: Cross multiply
    27,860,768,901x = 42,601,446,213.75 × 42,601,446,213.75
  4. Step 4: Simplify right side
    27,860,768,901x = 1,814,883,219,503,034,138,624
  5. Step 5: Solve for x
    x = 1,814,883,219,503,034,138,624/27,860,768,901
  6. Step 6: Final answer
    x = 65,141,174,888.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.