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Finding the Third Proportional to 24,309,068 and 52,653,884

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Solution

The third proportional to 24,309,068 and 52,653,884 is: 114,049,271.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,309,068 : 52,653,884 = 52,653,884 : x
  2. Step 2: Convert to fraction form
    24,309,068/52,653,884 = 52,653,884/x
  3. Step 3: Cross multiply
    24,309,068x = 52,653,884 × 52,653,884
  4. Step 4: Simplify right side
    24,309,068x = 2,772,431,500,285,456
  5. Step 5: Solve for x
    x = 2,772,431,500,285,456/24,309,068
  6. Step 6: Final answer
    x = 114,049,271.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.