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Finding the Third Proportional to 438,272,666,957 and 942,503,863,230.50

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Solution

The third proportional to 438,272,666,957 and 942,503,863,230.50 is: 2,026,851,316,948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,272,666,957 : 942,503,863,230.50 = 942,503,863,230.50 : x
  2. Step 2: Convert to fraction form
    438,272,666,957/942,503,863,230.50 = 942,503,863,230.50/x
  3. Step 3: Cross multiply
    438,272,666,957x = 942,503,863,230.50 × 942,503,863,230.50
  4. Step 4: Simplify right side
    438,272,666,957x = 888,313,532,204,417,076,428,800
  5. Step 5: Solve for x
    x = 888,313,532,204,417,076,428,800/438,272,666,957
  6. Step 6: Final answer
    x = 2,026,851,316,948.71

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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.