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Finding the Third Proportional to 1,212,985,233 and 1,733,384,001

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Solution

The third proportional to 1,212,985,233 and 1,733,384,001 is: 2,477,045,897.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,985,233 : 1,733,384,001 = 1,733,384,001 : x
  2. Step 2: Convert to fraction form
    1,212,985,233/1,733,384,001 = 1,733,384,001/x
  3. Step 3: Cross multiply
    1,212,985,233x = 1,733,384,001 × 1,733,384,001
  4. Step 4: Simplify right side
    1,212,985,233x = 3,004,620,094,922,767,872
  5. Step 5: Solve for x
    x = 3,004,620,094,922,767,872/1,212,985,233
  6. Step 6: Final answer
    x = 2,477,045,897.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.