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Finding the Third Proportional to 13,105,964 and 20,514,381

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Solution

The third proportional to 13,105,964 and 20,514,381 is: 32,110,558.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105,964 : 20,514,381 = 20,514,381 : x
  2. Step 2: Convert to fraction form
    13,105,964/20,514,381 = 20,514,381/x
  3. Step 3: Cross multiply
    13,105,964x = 20,514,381 × 20,514,381
  4. Step 4: Simplify right side
    13,105,964x = 420,839,827,813,161
  5. Step 5: Solve for x
    x = 420,839,827,813,161/13,105,964
  6. Step 6: Final answer
    x = 32,110,558.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.