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Finding the Third Proportional to 24,375,734,358 and 34,326,405,405

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Solution

The third proportional to 24,375,734,358 and 34,326,405,405 is: 48,339,142,965.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,375,734,358 : 34,326,405,405 = 34,326,405,405 : x
  2. Step 2: Convert to fraction form
    24,375,734,358/34,326,405,405 = 34,326,405,405/x
  3. Step 3: Cross multiply
    24,375,734,358x = 34,326,405,405 × 34,326,405,405
  4. Step 4: Simplify right side
    24,375,734,358x = 1,178,302,108,028,413,149,184
  5. Step 5: Solve for x
    x = 1,178,302,108,028,413,149,184/24,375,734,358
  6. Step 6: Final answer
    x = 48,339,142,965.83

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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.