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Finding the Third Proportional to 154,527,520 and 327,478,328

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Solution

The third proportional to 154,527,520 and 327,478,328 is: 693,999,718.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,527,520 : 327,478,328 = 327,478,328 : x
  2. Step 2: Convert to fraction form
    154,527,520/327,478,328 = 327,478,328/x
  3. Step 3: Cross multiply
    154,527,520x = 327,478,328 × 327,478,328
  4. Step 4: Simplify right side
    154,527,520x = 107,242,055,309,675,584
  5. Step 5: Solve for x
    x = 107,242,055,309,675,584/154,527,520
  6. Step 6: Final answer
    x = 693,999,718.04

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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.