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Finding the Third Proportional to 6,461,990 and 10,137,801

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Solution

The third proportional to 6,461,990 and 10,137,801 is: 15,904,544.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461,990 : 10,137,801 = 10,137,801 : x
  2. Step 2: Convert to fraction form
    6,461,990/10,137,801 = 10,137,801/x
  3. Step 3: Cross multiply
    6,461,990x = 10,137,801 × 10,137,801
  4. Step 4: Simplify right side
    6,461,990x = 102,775,009,115,601
  5. Step 5: Solve for x
    x = 102,775,009,115,601/6,461,990
  6. Step 6: Final answer
    x = 15,904,544.75

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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.