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Finding the Third Proportional to 27,860,768,903 and 42,601,446,217

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Solution

The third proportional to 27,860,768,903 and 42,601,446,217 is: 65,141,174,893.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,860,768,903 : 42,601,446,217 = 42,601,446,217 : x
  2. Step 2: Convert to fraction form
    27,860,768,903/42,601,446,217 = 42,601,446,217/x
  3. Step 3: Cross multiply
    27,860,768,903x = 42,601,446,217 × 42,601,446,217
  4. Step 4: Simplify right side
    27,860,768,903x = 1,814,883,219,779,943,661,568
  5. Step 5: Solve for x
    x = 1,814,883,219,779,943,661,568/27,860,768,903
  6. Step 6: Final answer
    x = 65,141,174,893.58

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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.