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Finding the Third Proportional to 969,117,858 and 2,113,635,849.75

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Solution

The third proportional to 969,117,858 and 2,113,635,849.75 is: 4,609,817,545.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,117,858 : 2,113,635,849.75 = 2,113,635,849.75 : x
  2. Step 2: Convert to fraction form
    969,117,858/2,113,635,849.75 = 2,113,635,849.75/x
  3. Step 3: Cross multiply
    969,117,858x = 2,113,635,849.75 × 2,113,635,849.75
  4. Step 4: Simplify right side
    969,117,858x = 4,467,456,505,348,404,736
  5. Step 5: Solve for x
    x = 4,467,456,505,348,404,736/969,117,858
  6. Step 6: Final answer
    x = 4,609,817,545.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.