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Finding the Third Proportional to 5,267,380,419 and 7,610,455,092

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Solution

The third proportional to 5,267,380,419 and 7,610,455,092 is: 10,995,793,373.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267,380,419 : 7,610,455,092 = 7,610,455,092 : x
  2. Step 2: Convert to fraction form
    5,267,380,419/7,610,455,092 = 7,610,455,092/x
  3. Step 3: Cross multiply
    5,267,380,419x = 7,610,455,092 × 7,610,455,092
  4. Step 4: Simplify right side
    5,267,380,419x = 57,919,026,707,348,725,760
  5. Step 5: Solve for x
    x = 57,919,026,707,348,725,760/5,267,380,419
  6. Step 6: Final answer
    x = 10,995,793,373.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.