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Finding the Third Proportional to 268,397,826 and 587,036,388

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Solution

The third proportional to 268,397,826 and 587,036,388 is: 1,283,958,689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,397,826 : 587,036,388 = 587,036,388 : x
  2. Step 2: Convert to fraction form
    268,397,826/587,036,388 = 587,036,388/x
  3. Step 3: Cross multiply
    268,397,826x = 587,036,388 × 587,036,388
  4. Step 4: Simplify right side
    268,397,826x = 344,611,720,836,086,528
  5. Step 5: Solve for x
    x = 344,611,720,836,086,528/268,397,826
  6. Step 6: Final answer
    x = 1,283,958,689.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.