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Finding the Third Proportional to 6,738,938 and 9,636,749

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Solution

The third proportional to 6,738,938 and 9,636,749 is: 13,780,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738,938 : 9,636,749 = 9,636,749 : x
  2. Step 2: Convert to fraction form
    6,738,938/9,636,749 = 9,636,749/x
  3. Step 3: Cross multiply
    6,738,938x = 9,636,749 × 9,636,749
  4. Step 4: Simplify right side
    6,738,938x = 92,866,931,289,001
  5. Step 5: Solve for x
    x = 92,866,931,289,001/6,738,938
  6. Step 6: Final answer
    x = 13,780,647.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.