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Finding the Third Proportional to 24,375,734,372 and 34,326,405,426

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Solution

The third proportional to 24,375,734,372 and 34,326,405,426 is: 48,339,142,997.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,375,734,372 : 34,326,405,426 = 34,326,405,426 : x
  2. Step 2: Convert to fraction form
    24,375,734,372/34,326,405,426 = 34,326,405,426/x
  3. Step 3: Cross multiply
    24,375,734,372x = 34,326,405,426 × 34,326,405,426
  4. Step 4: Simplify right side
    24,375,734,372x = 1,178,302,109,470,122,180,608
  5. Step 5: Solve for x
    x = 1,178,302,109,470,122,180,608/24,375,734,372
  6. Step 6: Final answer
    x = 48,339,142,997.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.