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Finding the Third Proportional to 263,445,797,353 and 355,450,231,534

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Solution

The third proportional to 263,445,797,353 and 355,450,231,534 is: 479,585,813,731.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,445,797,353 : 355,450,231,534 = 355,450,231,534 : x
  2. Step 2: Convert to fraction form
    263,445,797,353/355,450,231,534 = 355,450,231,534/x
  3. Step 3: Cross multiply
    263,445,797,353x = 355,450,231,534 × 355,450,231,534
  4. Step 4: Simplify right side
    263,445,797,353x = 126,344,867,097,574,201,360,384
  5. Step 5: Solve for x
    x = 126,344,867,097,574,201,360,384/263,445,797,353
  6. Step 6: Final answer
    x = 479,585,813,731.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.