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Finding the Third Proportional to 68,104,782,176 and 159,123,507,324

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Solution

The third proportional to 68,104,782,176 and 159,123,507,324 is: 371,784,326,652.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,104,782,176 : 159,123,507,324 = 159,123,507,324 : x
  2. Step 2: Convert to fraction form
    68,104,782,176/159,123,507,324 = 159,123,507,324/x
  3. Step 3: Cross multiply
    68,104,782,176x = 159,123,507,324 × 159,123,507,324
  4. Step 4: Simplify right side
    68,104,782,176x = 25,320,290,583,091,081,117,696
  5. Step 5: Solve for x
    x = 25,320,290,583,091,081,117,696/68,104,782,176
  6. Step 6: Final answer
    x = 371,784,326,652.09

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.