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Finding the Third Proportional to 613,972,290 and 944,672,139

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Solution

The third proportional to 613,972,290 and 944,672,139 is: 1,453,494,668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,972,290 : 944,672,139 = 944,672,139 : x
  2. Step 2: Convert to fraction form
    613,972,290/944,672,139 = 944,672,139/x
  3. Step 3: Cross multiply
    613,972,290x = 944,672,139 × 944,672,139
  4. Step 4: Simplify right side
    613,972,290x = 892,405,450,202,835,328
  5. Step 5: Solve for x
    x = 892,405,450,202,835,328/613,972,290
  6. Step 6: Final answer
    x = 1,453,494,668.63

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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.