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Finding the Third Proportional to 332,141,090.25 and 713,572,986.75

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Solution

The third proportional to 332,141,090.25 and 713,572,986.75 is: 1,533,042,500.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,141,090.25 : 713,572,986.75 = 713,572,986.75 : x
  2. Step 2: Convert to fraction form
    332,141,090.25/713,572,986.75 = 713,572,986.75/x
  3. Step 3: Cross multiply
    332,141,090.25x = 713,572,986.75 × 713,572,986.75
  4. Step 4: Simplify right side
    332,141,090.25x = 509,186,407,419,315,648
  5. Step 5: Solve for x
    x = 509,186,407,419,315,648/332,141,090.25
  6. Step 6: Final answer
    x = 1,533,042,500.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.