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Finding the Third Proportional to 13,919,298 and 21,294,963

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Solution

The third proportional to 13,919,298 and 21,294,963 is: 32,578,902.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,919,298 : 21,294,963 = 21,294,963 : x
  2. Step 2: Convert to fraction form
    13,919,298/21,294,963 = 21,294,963/x
  3. Step 3: Cross multiply
    13,919,298x = 21,294,963 × 21,294,963
  4. Step 4: Simplify right side
    13,919,298x = 453,475,449,171,369
  5. Step 5: Solve for x
    x = 453,475,449,171,369/13,919,298
  6. Step 6: Final answer
    x = 32,578,902.27

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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.