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Finding the Third Proportional to 154,527,516 and 327,478,318

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Solution

The third proportional to 154,527,516 and 327,478,318 is: 693,999,693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,527,516 : 327,478,318 = 327,478,318 : x
  2. Step 2: Convert to fraction form
    154,527,516/327,478,318 = 327,478,318/x
  3. Step 3: Cross multiply
    154,527,516x = 327,478,318 × 327,478,318
  4. Step 4: Simplify right side
    154,527,516x = 107,242,048,760,109,120
  5. Step 5: Solve for x
    x = 107,242,048,760,109,120/154,527,516
  6. Step 6: Final answer
    x = 693,999,693.62

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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.