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Finding the Third Proportional to 2,413,793,341 and 5,212,218,745

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Solution

The third proportional to 2,413,793,341 and 5,212,218,745 is: 11,254,991,794.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413,793,341 : 5,212,218,745 = 5,212,218,745 : x
  2. Step 2: Convert to fraction form
    2,413,793,341/5,212,218,745 = 5,212,218,745/x
  3. Step 3: Cross multiply
    2,413,793,341x = 5,212,218,745 × 5,212,218,745
  4. Step 4: Simplify right side
    2,413,793,341x = 27,167,224,245,729,374,208
  5. Step 5: Solve for x
    x = 27,167,224,245,729,374,208/2,413,793,341
  6. Step 6: Final answer
    x = 11,254,991,794.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.