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Finding the Third Proportional to 13,823,082 and 30,714,228

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Solution

The third proportional to 13,823,082 and 30,714,228 is: 68,245,547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823,082 : 30,714,228 = 30,714,228 : x
  2. Step 2: Convert to fraction form
    13,823,082/30,714,228 = 30,714,228/x
  3. Step 3: Cross multiply
    13,823,082x = 30,714,228 × 30,714,228
  4. Step 4: Simplify right side
    13,823,082x = 943,363,801,635,984
  5. Step 5: Solve for x
    x = 943,363,801,635,984/13,823,082
  6. Step 6: Final answer
    x = 68,245,547.67

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.