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Finding the Third Proportional to 1,592,405,981,024 and 3,509,395,024,640

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Solution

The third proportional to 1,592,405,981,024 and 3,509,395,024,640 is: 7,734,116,541,717.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592,405,981,024 : 3,509,395,024,640 = 3,509,395,024,640 : x
  2. Step 2: Convert to fraction form
    1,592,405,981,024/3,509,395,024,640 = 3,509,395,024,640/x
  3. Step 3: Cross multiply
    1,592,405,981,024x = 3,509,395,024,640 × 3,509,395,024,640
  4. Step 4: Simplify right side
    1,592,405,981,024x = 12,315,853,438,967,986,195,005,440
  5. Step 5: Solve for x
    x = 12,315,853,438,967,986,195,005,440/1,592,405,981,024
  6. Step 6: Final answer
    x = 7,734,116,541,717.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.