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Finding the Third Proportional to 1,907,460,616.50 and 2,576,338,265.25

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Solution

The third proportional to 1,907,460,616.50 and 2,576,338,265.25 is: 3,479,767,183.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907,460,616.50 : 2,576,338,265.25 = 2,576,338,265.25 : x
  2. Step 2: Convert to fraction form
    1,907,460,616.50/2,576,338,265.25 = 2,576,338,265.25/x
  3. Step 3: Cross multiply
    1,907,460,616.50x = 2,576,338,265.25 × 2,576,338,265.25
  4. Step 4: Simplify right side
    1,907,460,616.50x = 6,637,518,856,991,379,456
  5. Step 5: Solve for x
    x = 6,637,518,856,991,379,456/1,907,460,616.50
  6. Step 6: Final answer
    x = 3,479,767,183.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.