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Finding the Third Proportional to 595,702,107,220 and 835,887,981,462

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Solution

The third proportional to 595,702,107,220 and 835,887,981,462 is: 1,172,916,310,155.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,702,107,220 : 835,887,981,462 = 835,887,981,462 : x
  2. Step 2: Convert to fraction form
    595,702,107,220/835,887,981,462 = 835,887,981,462/x
  3. Step 3: Cross multiply
    595,702,107,220x = 835,887,981,462 × 835,887,981,462
  4. Step 4: Simplify right side
    595,702,107,220x = 698,708,717,552,616,920,317,952
  5. Step 5: Solve for x
    x = 698,708,717,552,616,920,317,952/595,702,107,220
  6. Step 6: Final answer
    x = 1,172,916,310,155.97

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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.