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Finding the Third Proportional to 387,392,562,133 and 839,247,114,742

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Solution

The third proportional to 387,392,562,133 and 839,247,114,742 is: 1,818,144,663,709.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,392,562,133 : 839,247,114,742 = 839,247,114,742 : x
  2. Step 2: Convert to fraction form
    387,392,562,133/839,247,114,742 = 839,247,114,742/x
  3. Step 3: Cross multiply
    387,392,562,133x = 839,247,114,742 × 839,247,114,742
  4. Step 4: Simplify right side
    387,392,562,133x = 704,335,719,602,771,726,434,304
  5. Step 5: Solve for x
    x = 704,335,719,602,771,726,434,304/387,392,562,133
  6. Step 6: Final answer
    x = 1,818,144,663,709.26

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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.