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Finding the Third Proportional to 29,147,344,197 and 44,781,672,962.25

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Solution

The third proportional to 29,147,344,197 and 44,781,672,962.25 is: 68,802,091,186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,147,344,197 : 44,781,672,962.25 = 44,781,672,962.25 : x
  2. Step 2: Convert to fraction form
    29,147,344,197/44,781,672,962.25 = 44,781,672,962.25/x
  3. Step 3: Cross multiply
    29,147,344,197x = 44,781,672,962.25 × 44,781,672,962.25
  4. Step 4: Simplify right side
    29,147,344,197x = 2,005,398,233,297,912,594,432
  5. Step 5: Solve for x
    x = 2,005,398,233,297,912,594,432/29,147,344,197
  6. Step 6: Final answer
    x = 68,802,091,186.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.