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Finding the Third Proportional to 1,940,273,260 and 2,982,370,734

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Solution

The third proportional to 1,940,273,260 and 2,982,370,734 is: 4,584,166,250.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940,273,260 : 2,982,370,734 = 2,982,370,734 : x
  2. Step 2: Convert to fraction form
    1,940,273,260/2,982,370,734 = 2,982,370,734/x
  3. Step 3: Cross multiply
    1,940,273,260x = 2,982,370,734 × 2,982,370,734
  4. Step 4: Simplify right side
    1,940,273,260x = 8,894,535,195,019,699,200
  5. Step 5: Solve for x
    x = 8,894,535,195,019,699,200/1,940,273,260
  6. Step 6: Final answer
    x = 4,584,166,250.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.