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Finding the Third Proportional to 4,977,024 and 10,164,000

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Solution

The third proportional to 4,977,024 and 10,164,000 is: 20,756,760.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977,024 : 10,164,000 = 10,164,000 : x
  2. Step 2: Convert to fraction form
    4,977,024/10,164,000 = 10,164,000/x
  3. Step 3: Cross multiply
    4,977,024x = 10,164,000 × 10,164,000
  4. Step 4: Simplify right side
    4,977,024x = 103,306,896,000,000
  5. Step 5: Solve for x
    x = 103,306,896,000,000/4,977,024
  6. Step 6: Final answer
    x = 20,756,760.67

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.