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Finding the Third Proportional to 284,438,540,361.16 and 410,964,571,274.92

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Solution

The third proportional to 284,438,540,361.16 and 410,964,571,274.92 is: 593,772,836,229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,438,540,361.16 : 410,964,571,274.92 = 410,964,571,274.92 : x
  2. Step 2: Convert to fraction form
    284,438,540,361.16/410,964,571,274.92 = 410,964,571,274.92/x
  3. Step 3: Cross multiply
    284,438,540,361.16x = 410,964,571,274.92 × 410,964,571,274.92
  4. Step 4: Simplify right side
    284,438,540,361.16x = 168,891,878,843,178,771,546,112
  5. Step 5: Solve for x
    x = 168,891,878,843,178,771,546,112/284,438,540,361.16
  6. Step 6: Final answer
    x = 593,772,836,229.34

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.