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Finding the Third Proportional to 311,927,769 and 675,870,093

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Solution

The third proportional to 311,927,769 and 675,870,093 is: 1,464,442,823.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,927,769 : 675,870,093 = 675,870,093 : x
  2. Step 2: Convert to fraction form
    311,927,769/675,870,093 = 675,870,093/x
  3. Step 3: Cross multiply
    311,927,769x = 675,870,093 × 675,870,093
  4. Step 4: Simplify right side
    311,927,769x = 456,800,382,611,828,672
  5. Step 5: Solve for x
    x = 456,800,382,611,828,672/311,927,769
  6. Step 6: Final answer
    x = 1,464,442,823.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.