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Finding the Third Proportional to 602,573,824.27 and 1,305,703,482.33

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Solution

The third proportional to 602,573,824.27 and 1,305,703,482.33 is: 2,829,299,108.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,573,824.27 : 1,305,703,482.33 = 1,305,703,482.33 : x
  2. Step 2: Convert to fraction form
    602,573,824.27/1,305,703,482.33 = 1,305,703,482.33/x
  3. Step 3: Cross multiply
    602,573,824.27x = 1,305,703,482.33 × 1,305,703,482.33
  4. Step 4: Simplify right side
    602,573,824.27x = 1,704,861,583,763,726,848
  5. Step 5: Solve for x
    x = 1,704,861,583,763,726,848/602,573,824.27
  6. Step 6: Final answer
    x = 2,829,299,108.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.