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Finding the Third Proportional to 6,952,609.69 and 10,030,333.78

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Solution

The third proportional to 6,952,609.69 and 10,030,333.78 is: 14,470,479.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952,609.69 : 10,030,333.78 = 10,030,333.78 : x
  2. Step 2: Convert to fraction form
    6,952,609.69/10,030,333.78 = 10,030,333.78/x
  3. Step 3: Cross multiply
    6,952,609.69x = 10,030,333.78 × 10,030,333.78
  4. Step 4: Simplify right side
    6,952,609.69x = 100,607,595,763,284.92
  5. Step 5: Solve for x
    x = 100,607,595,763,284.92/6,952,609.69
  6. Step 6: Final answer
    x = 14,470,479.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.