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Finding the Third Proportional to 5,197,023 and 10,962,774

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Solution

The third proportional to 5,197,023 and 10,962,774 is: 23,125,241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197,023 : 10,962,774 = 10,962,774 : x
  2. Step 2: Convert to fraction form
    5,197,023/10,962,774 = 10,962,774/x
  3. Step 3: Cross multiply
    5,197,023x = 10,962,774 × 10,962,774
  4. Step 4: Simplify right side
    5,197,023x = 120,182,413,775,076
  5. Step 5: Solve for x
    x = 120,182,413,775,076/5,197,023
  6. Step 6: Final answer
    x = 23,125,241.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.