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Finding the Third Proportional to 9,425,673 and 14,412,645

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Solution

The third proportional to 9,425,673 and 14,412,645 is: 22,038,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425,673 : 14,412,645 = 14,412,645 : x
  2. Step 2: Convert to fraction form
    9,425,673/14,412,645 = 14,412,645/x
  3. Step 3: Cross multiply
    9,425,673x = 14,412,645 × 14,412,645
  4. Step 4: Simplify right side
    9,425,673x = 207,724,335,896,025
  5. Step 5: Solve for x
    x = 207,724,335,896,025/9,425,673
  6. Step 6: Final answer
    x = 22,038,143.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.