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Finding the Third Proportional to 234,866,312 and 491,147,728

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Solution

The third proportional to 234,866,312 and 491,147,728 is: 1,027,078,292.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,866,312 : 491,147,728 = 491,147,728 : x
  2. Step 2: Convert to fraction form
    234,866,312/491,147,728 = 491,147,728/x
  3. Step 3: Cross multiply
    234,866,312x = 491,147,728 × 491,147,728
  4. Step 4: Simplify right side
    234,866,312x = 241,226,090,719,561,984
  5. Step 5: Solve for x
    x = 241,226,090,719,561,984/234,866,312
  6. Step 6: Final answer
    x = 1,027,078,292.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.