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Finding the Third Proportional to 247,520,545 and 524,546,986

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Solution

The third proportional to 247,520,545 and 524,546,986 is: 1,111,623,039.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,520,545 : 524,546,986 = 524,546,986 : x
  2. Step 2: Convert to fraction form
    247,520,545/524,546,986 = 524,546,986/x
  3. Step 3: Cross multiply
    247,520,545x = 524,546,986 × 524,546,986
  4. Step 4: Simplify right side
    247,520,545x = 275,149,540,521,684,192
  5. Step 5: Solve for x
    x = 275,149,540,521,684,192/247,520,545
  6. Step 6: Final answer
    x = 1,111,623,039.30

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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.