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Finding the Third Proportional to 14,682,102 and 32,018,412

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Solution

The third proportional to 14,682,102 and 32,018,412 is: 69,825,063.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,682,102 : 32,018,412 = 32,018,412 : x
  2. Step 2: Convert to fraction form
    14,682,102/32,018,412 = 32,018,412/x
  3. Step 3: Cross multiply
    14,682,102x = 32,018,412 × 32,018,412
  4. Step 4: Simplify right side
    14,682,102x = 1,025,178,707,001,744
  5. Step 5: Solve for x
    x = 1,025,178,707,001,744/14,682,102
  6. Step 6: Final answer
    x = 69,825,063.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.