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Finding the Third Proportional to 45,728,988,481.50 and 99,056,719,680

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Solution

The third proportional to 45,728,988,481.50 and 99,056,719,680 is: 214,573,600,676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,728,988,481.50 : 99,056,719,680 = 99,056,719,680 : x
  2. Step 2: Convert to fraction form
    45,728,988,481.50/99,056,719,680 = 99,056,719,680/x
  3. Step 3: Cross multiply
    45,728,988,481.50x = 99,056,719,680 × 99,056,719,680
  4. Step 4: Simplify right side
    45,728,988,481.50x = 9,812,233,713,762,099,527,680
  5. Step 5: Solve for x
    x = 9,812,233,713,762,099,527,680/45,728,988,481.50
  6. Step 6: Final answer
    x = 214,573,600,676.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.