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Finding the Third Proportional to 558,623,334 and 1,213,939,770

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Solution

The third proportional to 558,623,334 and 1,213,939,770 is: 2,638,002,524.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,623,334 : 1,213,939,770 = 1,213,939,770 : x
  2. Step 2: Convert to fraction form
    558,623,334/1,213,939,770 = 1,213,939,770/x
  3. Step 3: Cross multiply
    558,623,334x = 1,213,939,770 × 1,213,939,770
  4. Step 4: Simplify right side
    558,623,334x = 1,473,649,765,187,652,864
  5. Step 5: Solve for x
    x = 1,473,649,765,187,652,864/558,623,334
  6. Step 6: Final answer
    x = 2,638,002,524.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.