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Finding the Third Proportional to 3,271,483,128 and 7,041,812,208

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Solution

The third proportional to 3,271,483,128 and 7,041,812,208 is: 15,157,381,906.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271,483,128 : 7,041,812,208 = 7,041,812,208 : x
  2. Step 2: Convert to fraction form
    3,271,483,128/7,041,812,208 = 7,041,812,208/x
  3. Step 3: Cross multiply
    3,271,483,128x = 7,041,812,208 × 7,041,812,208
  4. Step 4: Simplify right side
    3,271,483,128x = 49,587,119,172,737,835,008
  5. Step 5: Solve for x
    x = 49,587,119,172,737,835,008/3,271,483,128
  6. Step 6: Final answer
    x = 15,157,381,906.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.