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Finding the Third Proportional to 9,938,298 and 14,848,023

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Solution

The third proportional to 9,938,298 and 14,848,023 is: 22,183,253.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938,298 : 14,848,023 = 14,848,023 : x
  2. Step 2: Convert to fraction form
    9,938,298/14,848,023 = 14,848,023/x
  3. Step 3: Cross multiply
    9,938,298x = 14,848,023 × 14,848,023
  4. Step 4: Simplify right side
    9,938,298x = 220,463,787,008,529
  5. Step 5: Solve for x
    x = 220,463,787,008,529/9,938,298
  6. Step 6: Final answer
    x = 22,183,253.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.