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Finding the Third Proportional to 1,443,009,757 and 2,230,780,868

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Solution

The third proportional to 1,443,009,757 and 2,230,780,868 is: 3,448,613,744.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443,009,757 : 2,230,780,868 = 2,230,780,868 : x
  2. Step 2: Convert to fraction form
    1,443,009,757/2,230,780,868 = 2,230,780,868/x
  3. Step 3: Cross multiply
    1,443,009,757x = 2,230,780,868 × 2,230,780,868
  4. Step 4: Simplify right side
    1,443,009,757x = 4,976,383,281,034,833,920
  5. Step 5: Solve for x
    x = 4,976,383,281,034,833,920/1,443,009,757
  6. Step 6: Final answer
    x = 3,448,613,744.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.