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Finding the Third Proportional to 268,397,836 and 587,036,412

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Solution

The third proportional to 268,397,836 and 587,036,412 is: 1,283,958,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,397,836 : 587,036,412 = 587,036,412 : x
  2. Step 2: Convert to fraction form
    268,397,836/587,036,412 = 587,036,412/x
  3. Step 3: Cross multiply
    268,397,836x = 587,036,412 × 587,036,412
  4. Step 4: Simplify right side
    268,397,836x = 344,611,749,013,833,728
  5. Step 5: Solve for x
    x = 344,611,749,013,833,728/268,397,836
  6. Step 6: Final answer
    x = 1,283,958,746.28

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