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Finding the Third Proportional to 416,155,705.42 and 905,571,578.49

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Solution

The third proportional to 416,155,705.42 and 905,571,578.49 is: 1,970,560,232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,155,705.42 : 905,571,578.49 = 905,571,578.49 : x
  2. Step 2: Convert to fraction form
    416,155,705.42/905,571,578.49 = 905,571,578.49/x
  3. Step 3: Cross multiply
    416,155,705.42x = 905,571,578.49 × 905,571,578.49
  4. Step 4: Simplify right side
    416,155,705.42x = 820,059,883,771,931,136
  5. Step 5: Solve for x
    x = 820,059,883,771,931,136/416,155,705.42
  6. Step 6: Final answer
    x = 1,970,560,232.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.