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Finding the Third Proportional to 595,702,107,222 and 835,887,981,465

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Solution

The third proportional to 595,702,107,222 and 835,887,981,465 is: 1,172,916,310,160.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,702,107,222 : 835,887,981,465 = 835,887,981,465 : x
  2. Step 2: Convert to fraction form
    595,702,107,222/835,887,981,465 = 835,887,981,465/x
  3. Step 3: Cross multiply
    595,702,107,222x = 835,887,981,465 × 835,887,981,465
  4. Step 4: Simplify right side
    595,702,107,222x = 698,708,717,557,632,234,160,128
  5. Step 5: Solve for x
    x = 698,708,717,557,632,234,160,128/595,702,107,222
  6. Step 6: Final answer
    x = 1,172,916,310,160.45

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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.