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Finding the Third Proportional to 194,976,962,900 and 424,568,089,568

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Solution

The third proportional to 194,976,962,900 and 424,568,089,568 is: 924,509,542,042.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,976,962,900 : 424,568,089,568 = 424,568,089,568 : x
  2. Step 2: Convert to fraction form
    194,976,962,900/424,568,089,568 = 424,568,089,568/x
  3. Step 3: Cross multiply
    194,976,962,900x = 424,568,089,568 × 424,568,089,568
  4. Step 4: Simplify right side
    194,976,962,900x = 180,258,062,679,421,256,466,432
  5. Step 5: Solve for x
    x = 180,258,062,679,421,256,466,432/194,976,962,900
  6. Step 6: Final answer
    x = 924,509,542,042.01

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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.