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Finding the Third Proportional to 64,467,213,948 and 138,729,948,408

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Solution

The third proportional to 64,467,213,948 and 138,729,948,408 is: 298,539,325,754.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,467,213,948 : 138,729,948,408 = 138,729,948,408 : x
  2. Step 2: Convert to fraction form
    64,467,213,948/138,729,948,408 = 138,729,948,408/x
  3. Step 3: Cross multiply
    64,467,213,948x = 138,729,948,408 × 138,729,948,408
  4. Step 4: Simplify right side
    64,467,213,948x = 19,245,998,585,286,343,262,208
  5. Step 5: Solve for x
    x = 19,245,998,585,286,343,262,208/64,467,213,948
  6. Step 6: Final answer
    x = 298,539,325,754.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.