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Finding the Third Proportional to 6,738,900.47 and 9,636,706.27

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Solution

The third proportional to 6,738,900.47 and 9,636,706.27 is: 13,780,602.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738,900.47 : 9,636,706.27 = 9,636,706.27 : x
  2. Step 2: Convert to fraction form
    6,738,900.47/9,636,706.27 = 9,636,706.27/x
  3. Step 3: Cross multiply
    6,738,900.47x = 9,636,706.27 × 9,636,706.27
  4. Step 4: Simplify right side
    6,738,900.47x = 92,866,107,649,936.14
  5. Step 5: Solve for x
    x = 92,866,107,649,936.14/6,738,900.47
  6. Step 6: Final answer
    x = 13,780,602.35

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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.