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Finding the Third Proportional to 276,326,162 and 595,696,858

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Solution

The third proportional to 276,326,162 and 595,696,858 is: 1,284,188,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,326,162 : 595,696,858 = 595,696,858 : x
  2. Step 2: Convert to fraction form
    276,326,162/595,696,858 = 595,696,858/x
  3. Step 3: Cross multiply
    276,326,162x = 595,696,858 × 595,696,858
  4. Step 4: Simplify right side
    276,326,162x = 354,854,746,631,072,192
  5. Step 5: Solve for x
    x = 354,854,746,631,072,192/276,326,162
  6. Step 6: Final answer
    x = 1,284,188,019.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.