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Finding the Third Proportional to 7,789,299.19 and 18,030,814.31

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Solution

The third proportional to 7,789,299.19 and 18,030,814.31 is: 41,738,063.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789,299.19 : 18,030,814.31 = 18,030,814.31 : x
  2. Step 2: Convert to fraction form
    7,789,299.19/18,030,814.31 = 18,030,814.31/x
  3. Step 3: Cross multiply
    7,789,299.19x = 18,030,814.31 × 18,030,814.31
  4. Step 4: Simplify right side
    7,789,299.19x = 325,110,264,771,854.88
  5. Step 5: Solve for x
    x = 325,110,264,771,854.88/7,789,299.19
  6. Step 6: Final answer
    x = 41,738,063.59

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.