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Finding the Third Proportional to 13,831,528 and 20,298,876

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Solution

The third proportional to 13,831,528 and 20,298,876 is: 29,790,227.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,831,528 : 20,298,876 = 20,298,876 : x
  2. Step 2: Convert to fraction form
    13,831,528/20,298,876 = 20,298,876/x
  3. Step 3: Cross multiply
    13,831,528x = 20,298,876 × 20,298,876
  4. Step 4: Simplify right side
    13,831,528x = 412,044,366,863,376
  5. Step 5: Solve for x
    x = 412,044,366,863,376/13,831,528
  6. Step 6: Final answer
    x = 29,790,227.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.