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Finding the Third Proportional to 31,405,014 and 47,264,769

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Solution

The third proportional to 31,405,014 and 47,264,769 is: 71,133,812.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,405,014 : 47,264,769 = 47,264,769 : x
  2. Step 2: Convert to fraction form
    31,405,014/47,264,769 = 47,264,769/x
  3. Step 3: Cross multiply
    31,405,014x = 47,264,769 × 47,264,769
  4. Step 4: Simplify right side
    31,405,014x = 2,233,958,388,623,361
  5. Step 5: Solve for x
    x = 2,233,958,388,623,361/31,405,014
  6. Step 6: Final answer
    x = 71,133,812.86

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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.