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Finding the Third Proportional to 4,030,903,312 and 8,836,647,600

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Solution

The third proportional to 4,030,903,312 and 8,836,647,600 is: 19,371,921,071.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,030,903,312 : 8,836,647,600 = 8,836,647,600 : x
  2. Step 2: Convert to fraction form
    4,030,903,312/8,836,647,600 = 8,836,647,600/x
  3. Step 3: Cross multiply
    4,030,903,312x = 8,836,647,600 × 8,836,647,600
  4. Step 4: Simplify right side
    4,030,903,312x = 78,086,340,806,585,761,792
  5. Step 5: Solve for x
    x = 78,086,340,806,585,761,792/4,030,903,312
  6. Step 6: Final answer
    x = 19,371,921,071.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.