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Finding the Third Proportional to 12,975,426 and 18,251,564

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Solution

The third proportional to 12,975,426 and 18,251,564 is: 25,673,113.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,975,426 : 18,251,564 = 18,251,564 : x
  2. Step 2: Convert to fraction form
    12,975,426/18,251,564 = 18,251,564/x
  3. Step 3: Cross multiply
    12,975,426x = 18,251,564 × 18,251,564
  4. Step 4: Simplify right side
    12,975,426x = 333,119,588,446,096
  5. Step 5: Solve for x
    x = 333,119,588,446,096/12,975,426
  6. Step 6: Final answer
    x = 25,673,113.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.