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Finding the Third Proportional to 18,991,952,721 and 40,440,225,741.75

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Solution

The third proportional to 18,991,952,721 and 40,440,225,741.75 is: 86,110,779,763.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,991,952,721 : 40,440,225,741.75 = 40,440,225,741.75 : x
  2. Step 2: Convert to fraction form
    18,991,952,721/40,440,225,741.75 = 40,440,225,741.75/x
  3. Step 3: Cross multiply
    18,991,952,721x = 40,440,225,741.75 × 40,440,225,741.75
  4. Step 4: Simplify right side
    18,991,952,721x = 1,635,411,858,043,699,462,144
  5. Step 5: Solve for x
    x = 1,635,411,858,043,699,462,144/18,991,952,721
  6. Step 6: Final answer
    x = 86,110,779,763.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.