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Finding the Third Proportional to 430,346,060,350 and 941,760,256,614

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Solution

The third proportional to 430,346,060,350 and 941,760,256,614 is: 2,060,928,314,799.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,346,060,350 : 941,760,256,614 = 941,760,256,614 : x
  2. Step 2: Convert to fraction form
    430,346,060,350/941,760,256,614 = 941,760,256,614/x
  3. Step 3: Cross multiply
    430,346,060,350x = 941,760,256,614 × 941,760,256,614
  4. Step 4: Simplify right side
    430,346,060,350x = 886,912,380,937,667,182,854,144
  5. Step 5: Solve for x
    x = 886,912,380,937,667,182,854,144/430,346,060,350
  6. Step 6: Final answer
    x = 2,060,928,314,799.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.