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Finding the Third Proportional to 353,096,025.75 and 484,704,447.75

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Solution

The third proportional to 353,096,025.75 and 484,704,447.75 is: 665,366,881.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,096,025.75 : 484,704,447.75 = 484,704,447.75 : x
  2. Step 2: Convert to fraction form
    353,096,025.75/484,704,447.75 = 484,704,447.75/x
  3. Step 3: Cross multiply
    353,096,025.75x = 484,704,447.75 × 484,704,447.75
  4. Step 4: Simplify right side
    353,096,025.75x = 234,938,401,668,632,480
  5. Step 5: Solve for x
    x = 234,938,401,668,632,480/353,096,025.75
  6. Step 6: Final answer
    x = 665,366,881.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.