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Finding the Third Proportional to 281,395,351.69 and 611,231,675.06

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Solution

The third proportional to 281,395,351.69 and 611,231,675.06 is: 1,327,684,193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,395,351.69 : 611,231,675.06 = 611,231,675.06 : x
  2. Step 2: Convert to fraction form
    281,395,351.69/611,231,675.06 = 611,231,675.06/x
  3. Step 3: Cross multiply
    281,395,351.69x = 611,231,675.06 × 611,231,675.06
  4. Step 4: Simplify right side
    281,395,351.69x = 373,604,160,599,709,568
  5. Step 5: Solve for x
    x = 373,604,160,599,709,568/281,395,351.69
  6. Step 6: Final answer
    x = 1,327,684,193.64

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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.