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Finding the Third Proportional to 664,006,352.06 and 1,419,949,400.06

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Solution

The third proportional to 664,006,352.06 and 1,419,949,400.06 is: 3,036,501,522.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,006,352.06 : 1,419,949,400.06 = 1,419,949,400.06 : x
  2. Step 2: Convert to fraction form
    664,006,352.06/1,419,949,400.06 = 1,419,949,400.06/x
  3. Step 3: Cross multiply
    664,006,352.06x = 1,419,949,400.06 × 1,419,949,400.06
  4. Step 4: Simplify right side
    664,006,352.06x = 2,016,256,298,737,853,696
  5. Step 5: Solve for x
    x = 2,016,256,298,737,853,696/664,006,352.06
  6. Step 6: Final answer
    x = 3,036,501,522.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.