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Finding the Third Proportional to 276,326,186 and 595,696,900

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Solution

The third proportional to 276,326,186 and 595,696,900 is: 1,284,188,088.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,326,186 : 595,696,900 = 595,696,900 : x
  2. Step 2: Convert to fraction form
    276,326,186/595,696,900 = 595,696,900/x
  3. Step 3: Cross multiply
    276,326,186x = 595,696,900 × 595,696,900
  4. Step 4: Simplify right side
    276,326,186x = 354,854,796,669,609,984
  5. Step 5: Solve for x
    x = 354,854,796,669,609,984/276,326,186
  6. Step 6: Final answer
    x = 1,284,188,088.75

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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.