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Finding the Third Proportional to 5,262,268,486.50 and 11,701,097,208

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Solution

The third proportional to 5,262,268,486.50 and 11,701,097,208 is: 26,018,375,197.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262,268,486.50 : 11,701,097,208 = 11,701,097,208 : x
  2. Step 2: Convert to fraction form
    5,262,268,486.50/11,701,097,208 = 11,701,097,208/x
  3. Step 3: Cross multiply
    5,262,268,486.50x = 11,701,097,208 × 11,701,097,208
  4. Step 4: Simplify right side
    5,262,268,486.50x = 136,915,675,871,065,391,104
  5. Step 5: Solve for x
    x = 136,915,675,871,065,391,104/5,262,268,486.50
  6. Step 6: Final answer
    x = 26,018,375,197.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.