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Finding the Third Proportional to 1,386,761,191 and 3,072,526,844

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Solution

The third proportional to 1,386,761,191 and 3,072,526,844 is: 6,807,532,016.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386,761,191 : 3,072,526,844 = 3,072,526,844 : x
  2. Step 2: Convert to fraction form
    1,386,761,191/3,072,526,844 = 3,072,526,844/x
  3. Step 3: Cross multiply
    1,386,761,191x = 3,072,526,844 × 3,072,526,844
  4. Step 4: Simplify right side
    1,386,761,191x = 9,440,421,207,100,600,320
  5. Step 5: Solve for x
    x = 9,440,421,207,100,600,320/1,386,761,191
  6. Step 6: Final answer
    x = 6,807,532,016.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.