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Finding the Third Proportional to 259,865,836 and 577,833,336

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Solution

The third proportional to 259,865,836 and 577,833,336 is: 1,284,860,562.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,865,836 : 577,833,336 = 577,833,336 : x
  2. Step 2: Convert to fraction form
    259,865,836/577,833,336 = 577,833,336/x
  3. Step 3: Cross multiply
    259,865,836x = 577,833,336 × 577,833,336
  4. Step 4: Simplify right side
    259,865,836x = 333,891,364,192,888,896
  5. Step 5: Solve for x
    x = 333,891,364,192,888,896/259,865,836
  6. Step 6: Final answer
    x = 1,284,860,562.41

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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.