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Finding the Third Proportional to 2,296,846,562 and 5,038,367,570

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Solution

The third proportional to 2,296,846,562 and 5,038,367,570 is: 11,052,173,963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296,846,562 : 5,038,367,570 = 5,038,367,570 : x
  2. Step 2: Convert to fraction form
    2,296,846,562/5,038,367,570 = 5,038,367,570/x
  3. Step 3: Cross multiply
    2,296,846,562x = 5,038,367,570 × 5,038,367,570
  4. Step 4: Simplify right side
    2,296,846,562x = 25,385,147,770,427,703,296
  5. Step 5: Solve for x
    x = 25,385,147,770,427,703,296/2,296,846,562
  6. Step 6: Final answer
    x = 11,052,173,963.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.