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Finding the Third Proportional to 905,469,764 and 1,940,020,648

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Solution

The third proportional to 905,469,764 and 1,940,020,648 is: 4,156,604,962.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,469,764 : 1,940,020,648 = 1,940,020,648 : x
  2. Step 2: Convert to fraction form
    905,469,764/1,940,020,648 = 1,940,020,648/x
  3. Step 3: Cross multiply
    905,469,764x = 1,940,020,648 × 1,940,020,648
  4. Step 4: Simplify right side
    905,469,764x = 3,763,680,114,666,339,840
  5. Step 5: Solve for x
    x = 3,763,680,114,666,339,840/905,469,764
  6. Step 6: Final answer
    x = 4,156,604,962.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.