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Finding the Third Proportional to 667,997,289 and 1,381,816,602

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Solution

The third proportional to 667,997,289 and 1,381,816,602 is: 2,858,420,465.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,997,289 : 1,381,816,602 = 1,381,816,602 : x
  2. Step 2: Convert to fraction form
    667,997,289/1,381,816,602 = 1,381,816,602/x
  3. Step 3: Cross multiply
    667,997,289x = 1,381,816,602 × 1,381,816,602
  4. Step 4: Simplify right side
    667,997,289x = 1,909,417,121,562,826,496
  5. Step 5: Solve for x
    x = 1,909,417,121,562,826,496/667,997,289
  6. Step 6: Final answer
    x = 2,858,420,465.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.