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Finding the Third Proportional to 465,739,537.50 and 999,747,447.75

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Solution

The third proportional to 465,739,537.50 and 999,747,447.75 is: 2,146,038,458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,739,537.50 : 999,747,447.75 = 999,747,447.75 : x
  2. Step 2: Convert to fraction form
    465,739,537.50/999,747,447.75 = 999,747,447.75/x
  3. Step 3: Cross multiply
    465,739,537.50x = 999,747,447.75 × 999,747,447.75
  4. Step 4: Simplify right side
    465,739,537.50x = 999,494,959,282,638,976
  5. Step 5: Solve for x
    x = 999,494,959,282,638,976/465,739,537.50
  6. Step 6: Final answer
    x = 2,146,038,458.85

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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.