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Finding the Third Proportional to 438,272,667,011 and 942,503,863,327

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Solution

The third proportional to 438,272,667,011 and 942,503,863,327 is: 2,026,851,317,114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,272,667,011 : 942,503,863,327 = 942,503,863,327 : x
  2. Step 2: Convert to fraction form
    438,272,667,011/942,503,863,327 = 942,503,863,327/x
  3. Step 3: Cross multiply
    438,272,667,011x = 942,503,863,327 × 942,503,863,327
  4. Step 4: Simplify right side
    438,272,667,011x = 888,313,532,386,320,349,921,280
  5. Step 5: Solve for x
    x = 888,313,532,386,320,349,921,280/438,272,667,011
  6. Step 6: Final answer
    x = 2,026,851,317,114.02

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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.