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Finding the Third Proportional to 481,968,342.94 and 1,049,500,254.64

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Solution

The third proportional to 481,968,342.94 and 1,049,500,254.64 is: 2,285,317,699.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,968,342.94 : 1,049,500,254.64 = 1,049,500,254.64 : x
  2. Step 2: Convert to fraction form
    481,968,342.94/1,049,500,254.64 = 1,049,500,254.64/x
  3. Step 3: Cross multiply
    481,968,342.94x = 1,049,500,254.64 × 1,049,500,254.64
  4. Step 4: Simplify right side
    481,968,342.94x = 1,101,450,784,487,955,456
  5. Step 5: Solve for x
    x = 1,101,450,784,487,955,456/481,968,342.94
  6. Step 6: Final answer
    x = 2,285,317,699.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.