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Finding the Third Proportional to 937,999,299 and 1,250,523,292.50

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Solution

The third proportional to 937,999,299 and 1,250,523,292.50 is: 1,667,174,492.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    937,999,299 : 1,250,523,292.50 = 1,250,523,292.50 : x
  2. Step 2: Convert to fraction form
    937,999,299/1,250,523,292.50 = 1,250,523,292.50/x
  3. Step 3: Cross multiply
    937,999,299x = 1,250,523,292.50 × 1,250,523,292.50
  4. Step 4: Simplify right side
    937,999,299x = 1,563,808,505,085,040,640
  5. Step 5: Solve for x
    x = 1,563,808,505,085,040,640/937,999,299
  6. Step 6: Final answer
    x = 1,667,174,492.30

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.