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Finding the Third Proportional to 12,674,182 and 27,368,558

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Solution

The third proportional to 12,674,182 and 27,368,558 is: 59,099,511.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674,182 : 27,368,558 = 27,368,558 : x
  2. Step 2: Convert to fraction form
    12,674,182/27,368,558 = 27,368,558/x
  3. Step 3: Cross multiply
    12,674,182x = 27,368,558 × 27,368,558
  4. Step 4: Simplify right side
    12,674,182x = 749,037,966,999,364
  5. Step 5: Solve for x
    x = 749,037,966,999,364/12,674,182
  6. Step 6: Final answer
    x = 59,099,511.67

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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.