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Finding the Third Proportional to 10,737,014 and 16,261,806

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Solution

The third proportional to 10,737,014 and 16,261,806 is: 24,629,411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737,014 : 16,261,806 = 16,261,806 : x
  2. Step 2: Convert to fraction form
    10,737,014/16,261,806 = 16,261,806/x
  3. Step 3: Cross multiply
    10,737,014x = 16,261,806 × 16,261,806
  4. Step 4: Simplify right side
    10,737,014x = 264,446,334,381,636
  5. Step 5: Solve for x
    x = 264,446,334,381,636/10,737,014
  6. Step 6: Final answer
    x = 24,629,411.34

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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.