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Finding the Third Proportional to 5,385,954 and 11,687,466

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Solution

The third proportional to 5,385,954 and 11,687,466 is: 25,361,683.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385,954 : 11,687,466 = 11,687,466 : x
  2. Step 2: Convert to fraction form
    5,385,954/11,687,466 = 11,687,466/x
  3. Step 3: Cross multiply
    5,385,954x = 11,687,466 × 11,687,466
  4. Step 4: Simplify right side
    5,385,954x = 136,596,861,501,156
  5. Step 5: Solve for x
    x = 136,596,861,501,156/5,385,954
  6. Step 6: Final answer
    x = 25,361,683.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.