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Finding the Third Proportional to 345,259,542 and 739,765,944

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Solution

The third proportional to 345,259,542 and 739,765,944 is: 1,585,050,043.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,259,542 : 739,765,944 = 739,765,944 : x
  2. Step 2: Convert to fraction form
    345,259,542/739,765,944 = 739,765,944/x
  3. Step 3: Cross multiply
    345,259,542x = 739,765,944 × 739,765,944
  4. Step 4: Simplify right side
    345,259,542x = 547,253,651,902,211,136
  5. Step 5: Solve for x
    x = 547,253,651,902,211,136/345,259,542
  6. Step 6: Final answer
    x = 1,585,050,043.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.