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Finding the Third Proportional to 76,504,911 and 114,981,585

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Solution

The third proportional to 76,504,911 and 114,981,585 is: 172,809,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,504,911 : 114,981,585 = 114,981,585 : x
  2. Step 2: Convert to fraction form
    76,504,911/114,981,585 = 114,981,585/x
  3. Step 3: Cross multiply
    76,504,911x = 114,981,585 × 114,981,585
  4. Step 4: Simplify right side
    76,504,911x = 13,220,764,889,112,224
  5. Step 5: Solve for x
    x = 13,220,764,889,112,224/76,504,911
  6. Step 6: Final answer
    x = 172,809,362.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.