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Finding the Third Proportional to 23,971,812 and 51,977,184

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Solution

The third proportional to 23,971,812 and 51,977,184 is: 112,700,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,971,812 : 51,977,184 = 51,977,184 : x
  2. Step 2: Convert to fraction form
    23,971,812/51,977,184 = 51,977,184/x
  3. Step 3: Cross multiply
    23,971,812x = 51,977,184 × 51,977,184
  4. Step 4: Simplify right side
    23,971,812x = 2,701,627,656,569,856
  5. Step 5: Solve for x
    x = 2,701,627,656,569,856/23,971,812
  6. Step 6: Final answer
    x = 112,700,185.39

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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.