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Finding the Third Proportional to 2,955,500,766 and 6,425,422,812

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Solution

The third proportional to 2,955,500,766 and 6,425,422,812 is: 13,969,226,057.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955,500,766 : 6,425,422,812 = 6,425,422,812 : x
  2. Step 2: Convert to fraction form
    2,955,500,766/6,425,422,812 = 6,425,422,812/x
  3. Step 3: Cross multiply
    2,955,500,766x = 6,425,422,812 × 6,425,422,812
  4. Step 4: Simplify right side
    2,955,500,766x = 41,286,058,312,969,986,048
  5. Step 5: Solve for x
    x = 41,286,058,312,969,986,048/2,955,500,766
  6. Step 6: Final answer
    x = 13,969,226,057.37

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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.