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Finding the Third Proportional to 1,095,386,982 and 2,435,686,860

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Solution

The third proportional to 1,095,386,982 and 2,435,686,860 is: 5,415,958,540.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095,386,982 : 2,435,686,860 = 2,435,686,860 : x
  2. Step 2: Convert to fraction form
    1,095,386,982/2,435,686,860 = 2,435,686,860/x
  3. Step 3: Cross multiply
    1,095,386,982x = 2,435,686,860 × 2,435,686,860
  4. Step 4: Simplify right side
    1,095,386,982x = 5,932,570,479,976,659,968
  5. Step 5: Solve for x
    x = 5,932,570,479,976,659,968/1,095,386,982
  6. Step 6: Final answer
    x = 5,415,958,540.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.