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Finding the Third Proportional to 10,831,285.50 and 16,825,389

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Solution

The third proportional to 10,831,285.50 and 16,825,389 is: 26,136,668.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,831,285.50 : 16,825,389 = 16,825,389 : x
  2. Step 2: Convert to fraction form
    10,831,285.50/16,825,389 = 16,825,389/x
  3. Step 3: Cross multiply
    10,831,285.50x = 16,825,389 × 16,825,389
  4. Step 4: Simplify right side
    10,831,285.50x = 283,093,715,001,321
  5. Step 5: Solve for x
    x = 283,093,715,001,321/10,831,285.50
  6. Step 6: Final answer
    x = 26,136,668.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.