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Finding the Third Proportional to 47,344,707 and 101,880,270

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Solution

The third proportional to 47,344,707 and 101,880,270 is: 219,234,420.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,344,707 : 101,880,270 = 101,880,270 : x
  2. Step 2: Convert to fraction form
    47,344,707/101,880,270 = 101,880,270/x
  3. Step 3: Cross multiply
    47,344,707x = 101,880,270 × 101,880,270
  4. Step 4: Simplify right side
    47,344,707x = 10,379,589,415,272,900
  5. Step 5: Solve for x
    x = 10,379,589,415,272,900/47,344,707
  6. Step 6: Final answer
    x = 219,234,420.76

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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.