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Finding the Third Proportional to 25,188,967,380 and 58,314,003,474

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Solution

The third proportional to 25,188,967,380 and 58,314,003,474 is: 135,000,492,472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,188,967,380 : 58,314,003,474 = 58,314,003,474 : x
  2. Step 2: Convert to fraction form
    25,188,967,380/58,314,003,474 = 58,314,003,474/x
  3. Step 3: Cross multiply
    25,188,967,380x = 58,314,003,474 × 58,314,003,474
  4. Step 4: Simplify right side
    25,188,967,380x = 3,400,523,001,165,684,146,176
  5. Step 5: Solve for x
    x = 3,400,523,001,165,684,146,176/25,188,967,380
  6. Step 6: Final answer
    x = 135,000,492,472.18

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.