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Finding the Third Proportional to 31,947,741 and 45,685,647

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Solution

The third proportional to 31,947,741 and 45,685,647 is: 65,331,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,947,741 : 45,685,647 = 45,685,647 : x
  2. Step 2: Convert to fraction form
    31,947,741/45,685,647 = 45,685,647/x
  3. Step 3: Cross multiply
    31,947,741x = 45,685,647 × 45,685,647
  4. Step 4: Simplify right side
    31,947,741x = 2,087,178,341,808,609
  5. Step 5: Solve for x
    x = 2,087,178,341,808,609/31,947,741
  6. Step 6: Final answer
    x = 65,331,014.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.