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Finding the Third Proportional to 13,097,213 and 27,551,765

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Solution

The third proportional to 13,097,213 and 27,551,765 is: 57,958,876.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097,213 : 27,551,765 = 27,551,765 : x
  2. Step 2: Convert to fraction form
    13,097,213/27,551,765 = 27,551,765/x
  3. Step 3: Cross multiply
    13,097,213x = 27,551,765 × 27,551,765
  4. Step 4: Simplify right side
    13,097,213x = 759,099,754,615,225
  5. Step 5: Solve for x
    x = 759,099,754,615,225/13,097,213
  6. Step 6: Final answer
    x = 57,958,876.79

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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.