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Finding the Third Proportional to 430,346,060,349 and 941,760,256,612

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Solution

The third proportional to 430,346,060,349 and 941,760,256,612 is: 2,060,928,314,795.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,346,060,349 : 941,760,256,612 = 941,760,256,612 : x
  2. Step 2: Convert to fraction form
    430,346,060,349/941,760,256,612 = 941,760,256,612/x
  3. Step 3: Cross multiply
    430,346,060,349x = 941,760,256,612 × 941,760,256,612
  4. Step 4: Simplify right side
    430,346,060,349x = 886,912,380,933,900,093,882,368
  5. Step 5: Solve for x
    x = 886,912,380,933,900,093,882,368/430,346,060,349
  6. Step 6: Final answer
    x = 2,060,928,314,795.39

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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.