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Finding the Third Proportional to 1,203,274,046,688 and 1,820,386,822,992

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Solution

The third proportional to 1,203,274,046,688 and 1,820,386,822,992 is: 2,753,992,903,315.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203,274,046,688 : 1,820,386,822,992 = 1,820,386,822,992 : x
  2. Step 2: Convert to fraction form
    1,203,274,046,688/1,820,386,822,992 = 1,820,386,822,992/x
  3. Step 3: Cross multiply
    1,203,274,046,688x = 1,820,386,822,992 × 1,820,386,822,992
  4. Step 4: Simplify right side
    1,203,274,046,688x = 3,313,808,185,322,906,987,790,336
  5. Step 5: Solve for x
    x = 3,313,808,185,322,906,987,790,336/1,203,274,046,688
  6. Step 6: Final answer
    x = 2,753,992,903,315.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.