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Finding the Third Proportional to 10,762,664 and 16,565,249

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Solution

The third proportional to 10,762,664 and 16,565,249 is: 25,496,240.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762,664 : 16,565,249 = 16,565,249 : x
  2. Step 2: Convert to fraction form
    10,762,664/16,565,249 = 16,565,249/x
  3. Step 3: Cross multiply
    10,762,664x = 16,565,249 × 16,565,249
  4. Step 4: Simplify right side
    10,762,664x = 274,407,474,432,001
  5. Step 5: Solve for x
    x = 274,407,474,432,001/10,762,664
  6. Step 6: Final answer
    x = 25,496,240.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.