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Finding the Third Proportional to 6,430,108 and 13,744,534

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Solution

The third proportional to 6,430,108 and 13,744,534 is: 29,379,322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430,108 : 13,744,534 = 13,744,534 : x
  2. Step 2: Convert to fraction form
    6,430,108/13,744,534 = 13,744,534/x
  3. Step 3: Cross multiply
    6,430,108x = 13,744,534 × 13,744,534
  4. Step 4: Simplify right side
    6,430,108x = 188,912,214,877,156
  5. Step 5: Solve for x
    x = 188,912,214,877,156/6,430,108
  6. Step 6: Final answer
    x = 29,379,322.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.