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Finding the Third Proportional to 76,484,324 and 115,365,635

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Solution

The third proportional to 76,484,324 and 115,365,635 is: 174,012,517.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,484,324 : 115,365,635 = 115,365,635 : x
  2. Step 2: Convert to fraction form
    76,484,324/115,365,635 = 115,365,635/x
  3. Step 3: Cross multiply
    76,484,324x = 115,365,635 × 115,365,635
  4. Step 4: Simplify right side
    76,484,324x = 13,309,229,738,953,224
  5. Step 5: Solve for x
    x = 13,309,229,738,953,224/76,484,324
  6. Step 6: Final answer
    x = 174,012,517.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.