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Finding the Third Proportional to 12,975,414.75 and 18,251,549.63

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Solution

The third proportional to 12,975,414.75 and 18,251,549.63 is: 25,673,095.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,975,414.75 : 18,251,549.63 = 18,251,549.63 : x
  2. Step 2: Convert to fraction form
    12,975,414.75/18,251,549.63 = 18,251,549.63/x
  3. Step 3: Cross multiply
    12,975,414.75x = 18,251,549.63 × 18,251,549.63
  4. Step 4: Simplify right side
    12,975,414.75x = 333,119,063,713,837.62
  5. Step 5: Solve for x
    x = 333,119,063,713,837.62/12,975,414.75
  6. Step 6: Final answer
    x = 25,673,095.63

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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.