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Finding the Third Proportional to 689,441,688 and 1,474,434,792

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Solution

The third proportional to 689,441,688 and 1,474,434,792 is: 3,153,215,121.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,441,688 : 1,474,434,792 = 1,474,434,792 : x
  2. Step 2: Convert to fraction form
    689,441,688/1,474,434,792 = 1,474,434,792/x
  3. Step 3: Cross multiply
    689,441,688x = 1,474,434,792 × 1,474,434,792
  4. Step 4: Simplify right side
    689,441,688x = 2,173,957,955,860,083,200
  5. Step 5: Solve for x
    x = 2,173,957,955,860,083,200/689,441,688
  6. Step 6: Final answer
    x = 3,153,215,121.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.