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Finding the Third Proportional to 69,440,992 and 148,448,408

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Solution

The third proportional to 69,440,992 and 148,448,408 is: 317,347,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,440,992 : 148,448,408 = 148,448,408 : x
  2. Step 2: Convert to fraction form
    69,440,992/148,448,408 = 148,448,408/x
  3. Step 3: Cross multiply
    69,440,992x = 148,448,408 × 148,448,408
  4. Step 4: Simplify right side
    69,440,992x = 22,036,929,837,734,464
  5. Step 5: Solve for x
    x = 22,036,929,837,734,464/69,440,992
  6. Step 6: Final answer
    x = 317,347,566.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.