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Finding the Third Proportional to 5,509,573,872 and 11,250,402,078

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Solution

The third proportional to 5,509,573,872 and 11,250,402,078 is: 22,973,019,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509,573,872 : 11,250,402,078 = 11,250,402,078 : x
  2. Step 2: Convert to fraction form
    5,509,573,872/11,250,402,078 = 11,250,402,078/x
  3. Step 3: Cross multiply
    5,509,573,872x = 11,250,402,078 × 11,250,402,078
  4. Step 4: Simplify right side
    5,509,573,872x = 126,571,546,916,666,720,256
  5. Step 5: Solve for x
    x = 126,571,546,916,666,720,256/5,509,573,872
  6. Step 6: Final answer
    x = 22,973,019,303.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.