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Finding the Third Proportional to 12,674,232 and 27,368,648

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Solution

The third proportional to 12,674,232 and 27,368,648 is: 59,099,667.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674,232 : 27,368,648 = 27,368,648 : x
  2. Step 2: Convert to fraction form
    12,674,232/27,368,648 = 27,368,648/x
  3. Step 3: Cross multiply
    12,674,232x = 27,368,648 × 27,368,648
  4. Step 4: Simplify right side
    12,674,232x = 749,042,893,347,904
  5. Step 5: Solve for x
    x = 749,042,893,347,904/12,674,232
  6. Step 6: Final answer
    x = 59,099,667.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.