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Finding the Third Proportional to 3,512,478,168 and 6,936,123,276

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Solution

The third proportional to 3,512,478,168 and 6,936,123,276 is: 13,696,827,082.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512,478,168 : 6,936,123,276 = 6,936,123,276 : x
  2. Step 2: Convert to fraction form
    3,512,478,168/6,936,123,276 = 6,936,123,276/x
  3. Step 3: Cross multiply
    3,512,478,168x = 6,936,123,276 × 6,936,123,276
  4. Step 4: Simplify right side
    3,512,478,168x = 48,109,806,099,868,975,104
  5. Step 5: Solve for x
    x = 48,109,806,099,868,975,104/3,512,478,168
  6. Step 6: Final answer
    x = 13,696,827,082.99

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.