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Finding the Third Proportional to 239,776,635 and 524,395,518

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Solution

The third proportional to 239,776,635 and 524,395,518 is: 1,146,861,783.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,776,635 : 524,395,518 = 524,395,518 : x
  2. Step 2: Convert to fraction form
    239,776,635/524,395,518 = 524,395,518/x
  3. Step 3: Cross multiply
    239,776,635x = 524,395,518 × 524,395,518
  4. Step 4: Simplify right side
    239,776,635x = 274,990,659,298,488,320
  5. Step 5: Solve for x
    x = 274,990,659,298,488,320/239,776,635
  6. Step 6: Final answer
    x = 1,146,861,783.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.