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Finding the Third Proportional to 7,177,362,123,326 and 15,443,303,747,062

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Solution

The third proportional to 7,177,362,123,326 and 15,443,303,747,062 is: 33,228,869,677,471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177,362,123,326 : 15,443,303,747,062 = 15,443,303,747,062 : x
  2. Step 2: Convert to fraction form
    7,177,362,123,326/15,443,303,747,062 = 15,443,303,747,062/x
  3. Step 3: Cross multiply
    7,177,362,123,326x = 15,443,303,747,062 × 15,443,303,747,062
  4. Step 4: Simplify right side
    7,177,362,123,326x = 238,495,630,624,019,221,164,589,056
  5. Step 5: Solve for x
    x = 238,495,630,624,019,221,164,589,056/7,177,362,123,326
  6. Step 6: Final answer
    x = 33,228,869,677,471.42

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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.