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Finding the Third Proportional to 1,504,611,614 and 2,323,996,653

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Solution

The third proportional to 1,504,611,614 and 2,323,996,653 is: 3,589,604,382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504,611,614 : 2,323,996,653 = 2,323,996,653 : x
  2. Step 2: Convert to fraction form
    1,504,611,614/2,323,996,653 = 2,323,996,653/x
  3. Step 3: Cross multiply
    1,504,611,614x = 2,323,996,653 × 2,323,996,653
  4. Step 4: Simplify right side
    1,504,611,614x = 5,400,960,443,155,202,048
  5. Step 5: Solve for x
    x = 5,400,960,443,155,202,048/1,504,611,614
  6. Step 6: Final answer
    x = 3,589,604,382.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.