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Finding the Third Proportional to 31,197,935 and 48,685,570

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Solution

The third proportional to 31,197,935 and 48,685,570 is: 75,975,692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,197,935 : 48,685,570 = 48,685,570 : x
  2. Step 2: Convert to fraction form
    31,197,935/48,685,570 = 48,685,570/x
  3. Step 3: Cross multiply
    31,197,935x = 48,685,570 × 48,685,570
  4. Step 4: Simplify right side
    31,197,935x = 2,370,284,726,224,900
  5. Step 5: Solve for x
    x = 2,370,284,726,224,900/31,197,935
  6. Step 6: Final answer
    x = 75,975,692.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.