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Finding the Third Proportional to 288,716,846 and 681,342,449

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Solution

The third proportional to 288,716,846 and 681,342,449 is: 1,607,899,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,716,846 : 681,342,449 = 681,342,449 : x
  2. Step 2: Convert to fraction form
    288,716,846/681,342,449 = 681,342,449/x
  3. Step 3: Cross multiply
    288,716,846x = 681,342,449 × 681,342,449
  4. Step 4: Simplify right side
    288,716,846x = 464,227,532,809,317,632
  5. Step 5: Solve for x
    x = 464,227,532,809,317,632/288,716,846
  6. Step 6: Final answer
    x = 1,607,899,016.77

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.