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Finding the Third Proportional to 2,612,439,922 and 5,640,468,164

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Solution

The third proportional to 2,612,439,922 and 5,640,468,164 is: 12,178,224,977.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612,439,922 : 5,640,468,164 = 5,640,468,164 : x
  2. Step 2: Convert to fraction form
    2,612,439,922/5,640,468,164 = 5,640,468,164/x
  3. Step 3: Cross multiply
    2,612,439,922x = 5,640,468,164 × 5,640,468,164
  4. Step 4: Simplify right side
    2,612,439,922x = 31,814,881,109,097,529,344
  5. Step 5: Solve for x
    x = 31,814,881,109,097,529,344/2,612,439,922
  6. Step 6: Final answer
    x = 12,178,224,977.03

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.