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Finding the Third Proportional to 13,097,215 and 27,551,769

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Solution

The third proportional to 13,097,215 and 27,551,769 is: 57,958,884.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097,215 : 27,551,769 = 27,551,769 : x
  2. Step 2: Convert to fraction form
    13,097,215/27,551,769 = 27,551,769/x
  3. Step 3: Cross multiply
    13,097,215x = 27,551,769 × 27,551,769
  4. Step 4: Simplify right side
    13,097,215x = 759,099,975,029,361
  5. Step 5: Solve for x
    x = 759,099,975,029,361/13,097,215
  6. Step 6: Final answer
    x = 57,958,884.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.