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Finding the Third Proportional to 151,187,825,590 and 323,940,528,864

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Solution

The third proportional to 151,187,825,590 and 323,940,528,864 is: 694,086,748,262.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,187,825,590 : 323,940,528,864 = 323,940,528,864 : x
  2. Step 2: Convert to fraction form
    151,187,825,590/323,940,528,864 = 323,940,528,864/x
  3. Step 3: Cross multiply
    151,187,825,590x = 323,940,528,864 × 323,940,528,864
  4. Step 4: Simplify right side
    151,187,825,590x = 104,937,466,240,688,015,278,080
  5. Step 5: Solve for x
    x = 104,937,466,240,688,015,278,080/151,187,825,590
  6. Step 6: Final answer
    x = 694,086,748,262.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.