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Finding the Third Proportional to 993,569,370,063 and 2,161,222,375,191

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Solution

The third proportional to 993,569,370,063 and 2,161,222,375,191 is: 4,701,113,274,788.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,569,370,063 : 2,161,222,375,191 = 2,161,222,375,191 : x
  2. Step 2: Convert to fraction form
    993,569,370,063/2,161,222,375,191 = 2,161,222,375,191/x
  3. Step 3: Cross multiply
    993,569,370,063x = 2,161,222,375,191 × 2,161,222,375,191
  4. Step 4: Simplify right side
    993,569,370,063x = 4,670,882,155,026,227,662,946,304
  5. Step 5: Solve for x
    x = 4,670,882,155,026,227,662,946,304/993,569,370,063
  6. Step 6: Final answer
    x = 4,701,113,274,788.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.