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Finding the Third Proportional to 248,932,880,002 and 535,621,027,936

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Solution

The third proportional to 248,932,880,002 and 535,621,027,936 is: 1,152,478,875,289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,932,880,002 : 535,621,027,936 = 535,621,027,936 : x
  2. Step 2: Convert to fraction form
    248,932,880,002/535,621,027,936 = 535,621,027,936/x
  3. Step 3: Cross multiply
    248,932,880,002x = 535,621,027,936 × 535,621,027,936
  4. Step 4: Simplify right side
    248,932,880,002x = 286,889,885,567,217,284,677,632
  5. Step 5: Solve for x
    x = 286,889,885,567,217,284,677,632/248,932,880,002
  6. Step 6: Final answer
    x = 1,152,478,875,289.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.