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Finding the Third Proportional to 4,744,622,342 and 9,881,948,884

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Solution

The third proportional to 4,744,622,342 and 9,881,948,884 is: 20,581,809,616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744,622,342 : 9,881,948,884 = 9,881,948,884 : x
  2. Step 2: Convert to fraction form
    4,744,622,342/9,881,948,884 = 9,881,948,884/x
  3. Step 3: Cross multiply
    4,744,622,342x = 9,881,948,884 × 9,881,948,884
  4. Step 4: Simplify right side
    4,744,622,342x = 97,652,913,745,988,845,568
  5. Step 5: Solve for x
    x = 97,652,913,745,988,845,568/4,744,622,342
  6. Step 6: Final answer
    x = 20,581,809,616.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.