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Finding the Third Proportional to 10,354,990 and 16,208,505

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Solution

The third proportional to 10,354,990 and 16,208,505 is: 25,370,921.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354,990 : 16,208,505 = 16,208,505 : x
  2. Step 2: Convert to fraction form
    10,354,990/16,208,505 = 16,208,505/x
  3. Step 3: Cross multiply
    10,354,990x = 16,208,505 × 16,208,505
  4. Step 4: Simplify right side
    10,354,990x = 262,715,634,335,025
  5. Step 5: Solve for x
    x = 262,715,634,335,025/10,354,990
  6. Step 6: Final answer
    x = 25,370,921.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.