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Finding the Third Proportional to 10,850,402 and 16,785,804

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Solution

The third proportional to 10,850,402 and 16,785,804 is: 25,967,997.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850,402 : 16,785,804 = 16,785,804 : x
  2. Step 2: Convert to fraction form
    10,850,402/16,785,804 = 16,785,804/x
  3. Step 3: Cross multiply
    10,850,402x = 16,785,804 × 16,785,804
  4. Step 4: Simplify right side
    10,850,402x = 281,763,215,926,416
  5. Step 5: Solve for x
    x = 281,763,215,926,416/10,850,402
  6. Step 6: Final answer
    x = 25,967,997.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.