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Finding the Third Proportional to 370,096,391.25 and 812,823,495.75

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Solution

The third proportional to 370,096,391.25 and 812,823,495.75 is: 1,785,162,057.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,096,391.25 : 812,823,495.75 = 812,823,495.75 : x
  2. Step 2: Convert to fraction form
    370,096,391.25/812,823,495.75 = 812,823,495.75/x
  3. Step 3: Cross multiply
    370,096,391.25x = 812,823,495.75 × 812,823,495.75
  4. Step 4: Simplify right side
    370,096,391.25x = 660,682,035,243,250,304
  5. Step 5: Solve for x
    x = 660,682,035,243,250,304/370,096,391.25
  6. Step 6: Final answer
    x = 1,785,162,057.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.