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Finding the Third Proportional to 31,587,948 and 47,770,722

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Solution

The third proportional to 31,587,948 and 47,770,722 is: 72,244,068.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,587,948 : 47,770,722 = 47,770,722 : x
  2. Step 2: Convert to fraction form
    31,587,948/47,770,722 = 47,770,722/x
  3. Step 3: Cross multiply
    31,587,948x = 47,770,722 × 47,770,722
  4. Step 4: Simplify right side
    31,587,948x = 2,282,041,880,401,284
  5. Step 5: Solve for x
    x = 2,282,041,880,401,284/31,587,948
  6. Step 6: Final answer
    x = 72,244,068.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.