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Finding the Third Proportional to 5,336,058,612 and 11,590,700,478

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Solution

The third proportional to 5,336,058,612 and 11,590,700,478 is: 25,176,698,259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336,058,612 : 11,590,700,478 = 11,590,700,478 : x
  2. Step 2: Convert to fraction form
    5,336,058,612/11,590,700,478 = 11,590,700,478/x
  3. Step 3: Cross multiply
    5,336,058,612x = 11,590,700,478 × 11,590,700,478
  4. Step 4: Simplify right side
    5,336,058,612x = 134,344,337,570,709,422,080
  5. Step 5: Solve for x
    x = 134,344,337,570,709,422,080/5,336,058,612
  6. Step 6: Final answer
    x = 25,176,698,259.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.