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Finding the Third Proportional to 319,073,744 and 694,052,130

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Solution

The third proportional to 319,073,744 and 694,052,130 is: 1,509,708,549.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,073,744 : 694,052,130 = 694,052,130 : x
  2. Step 2: Convert to fraction form
    319,073,744/694,052,130 = 694,052,130/x
  3. Step 3: Cross multiply
    319,073,744x = 694,052,130 × 694,052,130
  4. Step 4: Simplify right side
    319,073,744x = 481,708,359,157,536,896
  5. Step 5: Solve for x
    x = 481,708,359,157,536,896/319,073,744
  6. Step 6: Final answer
    x = 1,509,708,549.25

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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.