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Finding the Third Proportional to 259,865,132 and 577,832,008

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Solution

The third proportional to 259,865,132 and 577,832,008 is: 1,284,858,137.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,865,132 : 577,832,008 = 577,832,008 : x
  2. Step 2: Convert to fraction form
    259,865,132/577,832,008 = 577,832,008/x
  3. Step 3: Cross multiply
    259,865,132x = 577,832,008 × 577,832,008
  4. Step 4: Simplify right side
    259,865,132x = 333,889,829,469,312,064
  5. Step 5: Solve for x
    x = 333,889,829,469,312,064/259,865,132
  6. Step 6: Final answer
    x = 1,284,858,137.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.