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Finding the Third Proportional to 9,425,675 and 14,412,648

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Solution

The third proportional to 9,425,675 and 14,412,648 is: 22,038,148.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425,675 : 14,412,648 = 14,412,648 : x
  2. Step 2: Convert to fraction form
    9,425,675/14,412,648 = 14,412,648/x
  3. Step 3: Cross multiply
    9,425,675x = 14,412,648 × 14,412,648
  4. Step 4: Simplify right side
    9,425,675x = 207,724,422,371,904
  5. Step 5: Solve for x
    x = 207,724,422,371,904/9,425,675
  6. Step 6: Final answer
    x = 22,038,148.18

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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.