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Finding the Third Proportional to 11,226,650 and 16,413,755

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Solution

The third proportional to 11,226,650 and 16,413,755 is: 23,997,483.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,226,650 : 16,413,755 = 16,413,755 : x
  2. Step 2: Convert to fraction form
    11,226,650/16,413,755 = 16,413,755/x
  3. Step 3: Cross multiply
    11,226,650x = 16,413,755 × 16,413,755
  4. Step 4: Simplify right side
    11,226,650x = 269,411,353,200,025
  5. Step 5: Solve for x
    x = 269,411,353,200,025/11,226,650
  6. Step 6: Final answer
    x = 23,997,483.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.