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Finding the Third Proportional to 1,781,326,102 and 3,684,844,268

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Solution

The third proportional to 1,781,326,102 and 3,684,844,268 is: 7,622,454,565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781,326,102 : 3,684,844,268 = 3,684,844,268 : x
  2. Step 2: Convert to fraction form
    1,781,326,102/3,684,844,268 = 3,684,844,268/x
  3. Step 3: Cross multiply
    1,781,326,102x = 3,684,844,268 × 3,684,844,268
  4. Step 4: Simplify right side
    1,781,326,102x = 13,578,077,279,412,455,424
  5. Step 5: Solve for x
    x = 13,578,077,279,412,455,424/1,781,326,102
  6. Step 6: Final answer
    x = 7,622,454,565.82

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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.