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Finding the Third Proportional to 461,719,352,847 and 992,925,880,614

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Solution

The third proportional to 461,719,352,847 and 992,925,880,614 is: 2,135,283,691,952.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,719,352,847 : 992,925,880,614 = 992,925,880,614 : x
  2. Step 2: Convert to fraction form
    461,719,352,847/992,925,880,614 = 992,925,880,614/x
  3. Step 3: Cross multiply
    461,719,352,847x = 992,925,880,614 × 992,925,880,614
  4. Step 4: Simplify right side
    461,719,352,847x = 985,901,804,393,087,352,438,784
  5. Step 5: Solve for x
    x = 985,901,804,393,087,352,438,784/461,719,352,847
  6. Step 6: Final answer
    x = 2,135,283,691,952.56

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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.