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Finding the Third Proportional to 1,265,741,949 and 2,725,890,747

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Solution

The third proportional to 1,265,741,949 and 2,725,890,747 is: 5,870,454,376.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265,741,949 : 2,725,890,747 = 2,725,890,747 : x
  2. Step 2: Convert to fraction form
    1,265,741,949/2,725,890,747 = 2,725,890,747/x
  3. Step 3: Cross multiply
    1,265,741,949x = 2,725,890,747 × 2,725,890,747
  4. Step 4: Simplify right side
    1,265,741,949x = 7,430,480,364,580,217,856
  5. Step 5: Solve for x
    x = 7,430,480,364,580,217,856/1,265,741,949
  6. Step 6: Final answer
    x = 5,870,454,376.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.