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Finding the Third Proportional to 4,744,622,350 and 9,881,948,900

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Solution

The third proportional to 4,744,622,350 and 9,881,948,900 is: 20,581,809,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744,622,350 : 9,881,948,900 = 9,881,948,900 : x
  2. Step 2: Convert to fraction form
    4,744,622,350/9,881,948,900 = 9,881,948,900/x
  3. Step 3: Cross multiply
    4,744,622,350x = 9,881,948,900 × 9,881,948,900
  4. Step 4: Simplify right side
    4,744,622,350x = 97,652,914,062,211,203,072
  5. Step 5: Solve for x
    x = 97,652,914,062,211,203,072/4,744,622,350
  6. Step 6: Final answer
    x = 20,581,809,648.60

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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.