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Finding the Third Proportional to 461,719,352,858 and 992,925,880,640

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Solution

The third proportional to 461,719,352,858 and 992,925,880,640 is: 2,135,283,692,013.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,719,352,858 : 992,925,880,640 = 992,925,880,640 : x
  2. Step 2: Convert to fraction form
    461,719,352,858/992,925,880,640 = 992,925,880,640/x
  3. Step 3: Cross multiply
    461,719,352,858x = 992,925,880,640 × 992,925,880,640
  4. Step 4: Simplify right side
    461,719,352,858x = 985,901,804,444,719,570,223,104
  5. Step 5: Solve for x
    x = 985,901,804,444,719,570,223,104/461,719,352,858
  6. Step 6: Final answer
    x = 2,135,283,692,013.51

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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.