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Finding the Third Proportional to 739,832,368.50 and 1,609,905,034.50

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Solution

The third proportional to 739,832,368.50 and 1,609,905,034.50 is: 3,503,218,202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,832,368.50 : 1,609,905,034.50 = 1,609,905,034.50 : x
  2. Step 2: Convert to fraction form
    739,832,368.50/1,609,905,034.50 = 1,609,905,034.50/x
  3. Step 3: Cross multiply
    739,832,368.50x = 1,609,905,034.50 × 1,609,905,034.50
  4. Step 4: Simplify right side
    739,832,368.50x = 2,591,794,220,108,446,208
  5. Step 5: Solve for x
    x = 2,591,794,220,108,446,208/739,832,368.50
  6. Step 6: Final answer
    x = 3,503,218,202.47

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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.