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Finding the Third Proportional to 299,451,415,077 and 665,855,893,098

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Solution

The third proportional to 299,451,415,077 and 665,855,893,098 is: 1,480,587,661,472.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,451,415,077 : 665,855,893,098 = 665,855,893,098 : x
  2. Step 2: Convert to fraction form
    299,451,415,077/665,855,893,098 = 665,855,893,098/x
  3. Step 3: Cross multiply
    299,451,415,077x = 665,855,893,098 × 665,855,893,098
  4. Step 4: Simplify right side
    299,451,415,077x = 443,364,070,373,335,211,442,176
  5. Step 5: Solve for x
    x = 443,364,070,373,335,211,442,176/299,451,415,077
  6. Step 6: Final answer
    x = 1,480,587,661,472.00

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.