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Finding the Third Proportional to 5,463,548,298 and 11,755,744,308

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Solution

The third proportional to 5,463,548,298 and 11,755,744,308 is: 25,294,463,725.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463,548,298 : 11,755,744,308 = 11,755,744,308 : x
  2. Step 2: Convert to fraction form
    5,463,548,298/11,755,744,308 = 11,755,744,308/x
  3. Step 3: Cross multiply
    5,463,548,298x = 11,755,744,308 × 11,755,744,308
  4. Step 4: Simplify right side
    5,463,548,298x = 138,197,524,235,074,404,352
  5. Step 5: Solve for x
    x = 138,197,524,235,074,404,352/5,463,548,298
  6. Step 6: Final answer
    x = 25,294,463,725.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.