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Finding the Third Proportional to 27,860,768,902 and 42,601,446,215.50

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Solution

The third proportional to 27,860,768,902 and 42,601,446,215.50 is: 65,141,174,891.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,860,768,902 : 42,601,446,215.50 = 42,601,446,215.50 : x
  2. Step 2: Convert to fraction form
    27,860,768,902/42,601,446,215.50 = 42,601,446,215.50/x
  3. Step 3: Cross multiply
    27,860,768,902x = 42,601,446,215.50 × 42,601,446,215.50
  4. Step 4: Simplify right side
    27,860,768,902x = 1,814,883,219,652,139,286,528
  5. Step 5: Solve for x
    x = 1,814,883,219,652,139,286,528/27,860,768,902
  6. Step 6: Final answer
    x = 65,141,174,891.33

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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.