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Finding the Third Proportional to 595,702,107,216 and 835,887,981,456

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Solution

The third proportional to 595,702,107,216 and 835,887,981,456 is: 1,172,916,310,147.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,702,107,216 : 835,887,981,456 = 835,887,981,456 : x
  2. Step 2: Convert to fraction form
    595,702,107,216/835,887,981,456 = 835,887,981,456/x
  3. Step 3: Cross multiply
    595,702,107,216x = 835,887,981,456 × 835,887,981,456
  4. Step 4: Simplify right side
    595,702,107,216x = 698,708,717,542,586,158,415,872
  5. Step 5: Solve for x
    x = 698,708,717,542,586,158,415,872/595,702,107,216
  6. Step 6: Final answer
    x = 1,172,916,310,147.00

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.