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Finding the Third Proportional to 824,372,568 and 1,777,881,632

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Solution

The third proportional to 824,372,568 and 1,777,881,632 is: 3,834,265,258.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,568 : 1,777,881,632 = 1,777,881,632 : x
  2. Step 2: Convert to fraction form
    824,372,568/1,777,881,632 = 1,777,881,632/x
  3. Step 3: Cross multiply
    824,372,568x = 1,777,881,632 × 1,777,881,632
  4. Step 4: Simplify right side
    824,372,568x = 3,160,863,097,402,983,424
  5. Step 5: Solve for x
    x = 3,160,863,097,402,983,424/824,372,568
  6. Step 6: Final answer
    x = 3,834,265,258.33

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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.