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Finding the Third Proportional to 765,253,067,688 and 1,644,072,153,944

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Solution

The third proportional to 765,253,067,688 and 1,644,072,153,944 is: 3,532,129,907,744.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,253,067,688 : 1,644,072,153,944 = 1,644,072,153,944 : x
  2. Step 2: Convert to fraction form
    765,253,067,688/1,644,072,153,944 = 1,644,072,153,944/x
  3. Step 3: Cross multiply
    765,253,067,688x = 1,644,072,153,944 × 1,644,072,153,944
  4. Step 4: Simplify right side
    765,253,067,688x = 2,702,973,247,374,063,476,670,464
  5. Step 5: Solve for x
    x = 2,702,973,247,374,063,476,670,464/765,253,067,688
  6. Step 6: Final answer
    x = 3,532,129,907,744.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.