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Finding the Third Proportional to 303,251,152 and 654,921,520

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Solution

The third proportional to 303,251,152 and 654,921,520 is: 1,414,412,425.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,251,152 : 654,921,520 = 654,921,520 : x
  2. Step 2: Convert to fraction form
    303,251,152/654,921,520 = 654,921,520/x
  3. Step 3: Cross multiply
    303,251,152x = 654,921,520 × 654,921,520
  4. Step 4: Simplify right side
    303,251,152x = 428,922,197,359,110,400
  5. Step 5: Solve for x
    x = 428,922,197,359,110,400/303,251,152
  6. Step 6: Final answer
    x = 1,414,412,425.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.