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Finding the Third Proportional to 13,886,199,124 and 30,425,320,580

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Solution

The third proportional to 13,886,199,124 and 30,425,320,580 is: 66,663,319,755.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886,199,124 : 30,425,320,580 = 30,425,320,580 : x
  2. Step 2: Convert to fraction form
    13,886,199,124/30,425,320,580 = 30,425,320,580/x
  3. Step 3: Cross multiply
    13,886,199,124x = 30,425,320,580 × 30,425,320,580
  4. Step 4: Simplify right side
    13,886,199,124x = 925,700,132,395,771,494,400
  5. Step 5: Solve for x
    x = 925,700,132,395,771,494,400/13,886,199,124
  6. Step 6: Final answer
    x = 66,663,319,755.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.