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Finding the Third Proportional to 254,500,944 and 403,638,912

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Solution

The third proportional to 254,500,944 and 403,638,912 is: 640,171,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,500,944 : 403,638,912 = 403,638,912 : x
  2. Step 2: Convert to fraction form
    254,500,944/403,638,912 = 403,638,912/x
  3. Step 3: Cross multiply
    254,500,944x = 403,638,912 × 403,638,912
  4. Step 4: Simplify right side
    254,500,944x = 162,924,371,280,543,744
  5. Step 5: Solve for x
    x = 162,924,371,280,543,744/254,500,944
  6. Step 6: Final answer
    x = 640,171,972.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.