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Finding the Third Proportional to 10,603,774 and 16,319,016

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Solution

The third proportional to 10,603,774 and 16,319,016 is: 25,114,669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603,774 : 16,319,016 = 16,319,016 : x
  2. Step 2: Convert to fraction form
    10,603,774/16,319,016 = 16,319,016/x
  3. Step 3: Cross multiply
    10,603,774x = 16,319,016 × 16,319,016
  4. Step 4: Simplify right side
    10,603,774x = 266,310,283,208,256
  5. Step 5: Solve for x
    x = 266,310,283,208,256/10,603,774
  6. Step 6: Final answer
    x = 25,114,669.85

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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.