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Finding the Third Proportional to 13,438,184 and 20,683,252

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Solution

The third proportional to 13,438,184 and 20,683,252 is: 31,834,428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438,184 : 20,683,252 = 20,683,252 : x
  2. Step 2: Convert to fraction form
    13,438,184/20,683,252 = 20,683,252/x
  3. Step 3: Cross multiply
    13,438,184x = 20,683,252 × 20,683,252
  4. Step 4: Simplify right side
    13,438,184x = 427,796,913,295,504
  5. Step 5: Solve for x
    x = 427,796,913,295,504/13,438,184
  6. Step 6: Final answer
    x = 31,834,428.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.