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Finding the Third Proportional to 11,038,780 and 16,450,278

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Solution

The third proportional to 11,038,780 and 16,450,278 is: 24,514,633.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038,780 : 16,450,278 = 16,450,278 : x
  2. Step 2: Convert to fraction form
    11,038,780/16,450,278 = 16,450,278/x
  3. Step 3: Cross multiply
    11,038,780x = 16,450,278 × 16,450,278
  4. Step 4: Simplify right side
    11,038,780x = 270,611,646,277,284
  5. Step 5: Solve for x
    x = 270,611,646,277,284/11,038,780
  6. Step 6: Final answer
    x = 24,514,633.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.