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Finding the Third Proportional to 555,307,532,142 and 1,126,229,048,286

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Solution

The third proportional to 555,307,532,142 and 1,126,229,048,286 is: 2,284,125,094,270.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,307,532,142 : 1,126,229,048,286 = 1,126,229,048,286 : x
  2. Step 2: Convert to fraction form
    555,307,532,142/1,126,229,048,286 = 1,126,229,048,286/x
  3. Step 3: Cross multiply
    555,307,532,142x = 1,126,229,048,286 × 1,126,229,048,286
  4. Step 4: Simplify right side
    555,307,532,142x = 1,268,391,869,203,189,264,809,984
  5. Step 5: Solve for x
    x = 1,268,391,869,203,189,264,809,984/555,307,532,142
  6. Step 6: Final answer
    x = 2,284,125,094,270.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.