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Finding the Third Proportional to 387,392,562,104 and 839,247,114,684

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Solution

The third proportional to 387,392,562,104 and 839,247,114,684 is: 1,818,144,663,594.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,392,562,104 : 839,247,114,684 = 839,247,114,684 : x
  2. Step 2: Convert to fraction form
    387,392,562,104/839,247,114,684 = 839,247,114,684/x
  3. Step 3: Cross multiply
    387,392,562,104x = 839,247,114,684 × 839,247,114,684
  4. Step 4: Simplify right side
    387,392,562,104x = 704,335,719,505,419,044,913,152
  5. Step 5: Solve for x
    x = 704,335,719,505,419,044,913,152/387,392,562,104
  6. Step 6: Final answer
    x = 1,818,144,663,594.06

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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.