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Finding the Third Proportional to 6,869,296 and 10,626,752

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Solution

The third proportional to 6,869,296 and 10,626,752 is: 16,439,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869,296 : 10,626,752 = 10,626,752 : x
  2. Step 2: Convert to fraction form
    6,869,296/10,626,752 = 10,626,752/x
  3. Step 3: Cross multiply
    6,869,296x = 10,626,752 × 10,626,752
  4. Step 4: Simplify right side
    6,869,296x = 112,927,858,069,504
  5. Step 5: Solve for x
    x = 112,927,858,069,504/6,869,296
  6. Step 6: Final answer
    x = 16,439,509.68

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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.