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Finding the Third Proportional to 303,079,611 and 654,658,119

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Solution

The third proportional to 303,079,611 and 654,658,119 is: 1,414,074,841.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,079,611 : 654,658,119 = 654,658,119 : x
  2. Step 2: Convert to fraction form
    303,079,611/654,658,119 = 654,658,119/x
  3. Step 3: Cross multiply
    303,079,611x = 654,658,119 × 654,658,119
  4. Step 4: Simplify right side
    303,079,611x = 428,577,252,772,618,176
  5. Step 5: Solve for x
    x = 428,577,252,772,618,176/303,079,611
  6. Step 6: Final answer
    x = 1,414,074,841.12

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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.