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Finding the Third Proportional to 6,283,674 and 9,670,455

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Solution

The third proportional to 6,283,674 and 9,670,455 is: 14,882,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,674 : 9,670,455 = 9,670,455 : x
  2. Step 2: Convert to fraction form
    6,283,674/9,670,455 = 9,670,455/x
  3. Step 3: Cross multiply
    6,283,674x = 9,670,455 × 9,670,455
  4. Step 4: Simplify right side
    6,283,674x = 93,517,699,907,025
  5. Step 5: Solve for x
    x = 93,517,699,907,025/6,283,674
  6. Step 6: Final answer
    x = 14,882,646.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.