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Finding the Third Proportional to 45,652,774,338 and 92,589,200,928

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Solution

The third proportional to 45,652,774,338 and 92,589,200,928 is: 187,781,799,743.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,652,774,338 : 92,589,200,928 = 92,589,200,928 : x
  2. Step 2: Convert to fraction form
    45,652,774,338/92,589,200,928 = 92,589,200,928/x
  3. Step 3: Cross multiply
    45,652,774,338x = 92,589,200,928 × 92,589,200,928
  4. Step 4: Simplify right side
    45,652,774,338x = 8,572,760,128,485,556,486,144
  5. Step 5: Solve for x
    x = 8,572,760,128,485,556,486,144/45,652,774,338
  6. Step 6: Final answer
    x = 187,781,799,743.76

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.