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Finding the Third Proportional to 769,104,958,770 and 1,130,618,407,815

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Solution

The third proportional to 769,104,958,770 and 1,130,618,407,815 is: 1,662,059,215,083.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,104,958,770 : 1,130,618,407,815 = 1,130,618,407,815 : x
  2. Step 2: Convert to fraction form
    769,104,958,770/1,130,618,407,815 = 1,130,618,407,815/x
  3. Step 3: Cross multiply
    769,104,958,770x = 1,130,618,407,815 × 1,130,618,407,815
  4. Step 4: Simplify right side
    769,104,958,770x = 1,278,297,984,090,125,581,156,352
  5. Step 5: Solve for x
    x = 1,278,297,984,090,125,581,156,352/769,104,958,770
  6. Step 6: Final answer
    x = 1,662,059,215,083.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.