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Finding the Third Proportional to 1,460,828,791 and 2,972,675,756

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Solution

The third proportional to 1,460,828,791 and 2,972,675,756 is: 6,049,169,625.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460,828,791 : 2,972,675,756 = 2,972,675,756 : x
  2. Step 2: Convert to fraction form
    1,460,828,791/2,972,675,756 = 2,972,675,756/x
  3. Step 3: Cross multiply
    1,460,828,791x = 2,972,675,756 × 2,972,675,756
  4. Step 4: Simplify right side
    1,460,828,791x = 8,836,801,150,310,171,648
  5. Step 5: Solve for x
    x = 8,836,801,150,310,171,648/1,460,828,791
  6. Step 6: Final answer
    x = 6,049,169,625.32

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.