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Finding the Third Proportional to 472,213,925,492 and 1,019,672,959,880

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Solution

The third proportional to 472,213,925,492 and 1,019,672,959,880 is: 2,201,826,098,260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,213,925,492 : 1,019,672,959,880 = 1,019,672,959,880 : x
  2. Step 2: Convert to fraction form
    472,213,925,492/1,019,672,959,880 = 1,019,672,959,880/x
  3. Step 3: Cross multiply
    472,213,925,492x = 1,019,672,959,880 × 1,019,672,959,880
  4. Step 4: Simplify right side
    472,213,925,492x = 1,039,732,945,110,440,150,564,864
  5. Step 5: Solve for x
    x = 1,039,732,945,110,440,150,564,864/472,213,925,492
  6. Step 6: Final answer
    x = 2,201,826,098,260.74

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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.