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Finding the Third Proportional to 438,272,666,959 and 942,503,863,234

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Solution

The third proportional to 438,272,666,959 and 942,503,863,234 is: 2,026,851,316,954.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,272,666,959 : 942,503,863,234 = 942,503,863,234 : x
  2. Step 2: Convert to fraction form
    438,272,666,959/942,503,863,234 = 942,503,863,234/x
  3. Step 3: Cross multiply
    438,272,666,959x = 942,503,863,234 × 942,503,863,234
  4. Step 4: Simplify right side
    438,272,666,959x = 888,313,532,211,014,548,848,640
  5. Step 5: Solve for x
    x = 888,313,532,211,014,548,848,640/438,272,666,959
  6. Step 6: Final answer
    x = 2,026,851,316,954.51

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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.