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Finding the Third Proportional to 6,289,638 and 13,756,986

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Solution

The third proportional to 6,289,638 and 13,756,986 is: 30,089,913.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289,638 : 13,756,986 = 13,756,986 : x
  2. Step 2: Convert to fraction form
    6,289,638/13,756,986 = 13,756,986/x
  3. Step 3: Cross multiply
    6,289,638x = 13,756,986 × 13,756,986
  4. Step 4: Simplify right side
    6,289,638x = 189,254,663,804,196
  5. Step 5: Solve for x
    x = 189,254,663,804,196/6,289,638
  6. Step 6: Final answer
    x = 30,089,913.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.