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Finding the Third Proportional to 24,375,734,368 and 34,326,405,420

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Solution

The third proportional to 24,375,734,368 and 34,326,405,420 is: 48,339,142,988.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,375,734,368 : 34,326,405,420 = 34,326,405,420 : x
  2. Step 2: Convert to fraction form
    24,375,734,368/34,326,405,420 = 34,326,405,420/x
  3. Step 3: Cross multiply
    24,375,734,368x = 34,326,405,420 × 34,326,405,420
  4. Step 4: Simplify right side
    24,375,734,368x = 1,178,302,109,058,205,351,936
  5. Step 5: Solve for x
    x = 1,178,302,109,058,205,351,936/24,375,734,368
  6. Step 6: Final answer
    x = 48,339,142,988.24

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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.