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Finding the Third Proportional to 461,719,352,862 and 992,925,880,648

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Solution

The third proportional to 461,719,352,862 and 992,925,880,648 is: 2,135,283,692,029.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,719,352,862 : 992,925,880,648 = 992,925,880,648 : x
  2. Step 2: Convert to fraction form
    461,719,352,862/992,925,880,648 = 992,925,880,648/x
  3. Step 3: Cross multiply
    461,719,352,862x = 992,925,880,648 × 992,925,880,648
  4. Step 4: Simplify right side
    461,719,352,862x = 985,901,804,460,606,385,815,552
  5. Step 5: Solve for x
    x = 985,901,804,460,606,385,815,552/461,719,352,862
  6. Step 6: Final answer
    x = 2,135,283,692,029.42

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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.