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Finding the Third Proportional to 667,019,040 and 1,448,861,628

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Solution

The third proportional to 667,019,040 and 1,448,861,628 is: 3,147,136,575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,019,040 : 1,448,861,628 = 1,448,861,628 : x
  2. Step 2: Convert to fraction form
    667,019,040/1,448,861,628 = 1,448,861,628/x
  3. Step 3: Cross multiply
    667,019,040x = 1,448,861,628 × 1,448,861,628
  4. Step 4: Simplify right side
    667,019,040x = 2,099,200,017,090,810,368
  5. Step 5: Solve for x
    x = 2,099,200,017,090,810,368/667,019,040
  6. Step 6: Final answer
    x = 3,147,136,575.13

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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.