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Finding the Third Proportional to 2,218,841,308 and 4,881,443,116

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Solution

The third proportional to 2,218,841,308 and 4,881,443,116 is: 10,739,157,779.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218,841,308 : 4,881,443,116 = 4,881,443,116 : x
  2. Step 2: Convert to fraction form
    2,218,841,308/4,881,443,116 = 4,881,443,116/x
  3. Step 3: Cross multiply
    2,218,841,308x = 4,881,443,116 × 4,881,443,116
  4. Step 4: Simplify right side
    2,218,841,308x = 23,828,486,894,743,789,568
  5. Step 5: Solve for x
    x = 23,828,486,894,743,789,568/2,218,841,308
  6. Step 6: Final answer
    x = 10,739,157,779.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.