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Finding the Third Proportional to 11,962,749 and 26,241,509

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Solution

The third proportional to 11,962,749 and 26,241,509 is: 57,563,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,962,749 : 26,241,509 = 26,241,509 : x
  2. Step 2: Convert to fraction form
    11,962,749/26,241,509 = 26,241,509/x
  3. Step 3: Cross multiply
    11,962,749x = 26,241,509 × 26,241,509
  4. Step 4: Simplify right side
    11,962,749x = 688,616,794,597,081
  5. Step 5: Solve for x
    x = 688,616,794,597,081/11,962,749
  6. Step 6: Final answer
    x = 57,563,424.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.