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Finding the Third Proportional to 387,392,562,102 and 839,247,114,679

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Solution

The third proportional to 387,392,562,102 and 839,247,114,679 is: 1,818,144,663,581.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,392,562,102 : 839,247,114,679 = 839,247,114,679 : x
  2. Step 2: Convert to fraction form
    387,392,562,102/839,247,114,679 = 839,247,114,679/x
  3. Step 3: Cross multiply
    387,392,562,102x = 839,247,114,679 × 839,247,114,679
  4. Step 4: Simplify right side
    387,392,562,102x = 704,335,719,497,026,544,599,040
  5. Step 5: Solve for x
    x = 704,335,719,497,026,544,599,040/387,392,562,102
  6. Step 6: Final answer
    x = 1,818,144,663,581.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.