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Finding the Third Proportional to 247,520,548 and 524,546,994

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Solution

The third proportional to 247,520,548 and 524,546,994 is: 1,111,623,059.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,520,548 : 524,546,994 = 524,546,994 : x
  2. Step 2: Convert to fraction form
    247,520,548/524,546,994 = 524,546,994/x
  3. Step 3: Cross multiply
    247,520,548x = 524,546,994 × 524,546,994
  4. Step 4: Simplify right side
    247,520,548x = 275,149,548,914,436,032
  5. Step 5: Solve for x
    x = 275,149,548,914,436,032/247,520,548
  6. Step 6: Final answer
    x = 1,111,623,059.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.