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Finding the Third Proportional to 128,104,416,540 and 266,811,959,772

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Solution

The third proportional to 128,104,416,540 and 266,811,959,772 is: 555,707,787,444.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,104,416,540 : 266,811,959,772 = 266,811,959,772 : x
  2. Step 2: Convert to fraction form
    128,104,416,540/266,811,959,772 = 266,811,959,772/x
  3. Step 3: Cross multiply
    128,104,416,540x = 266,811,959,772 × 266,811,959,772
  4. Step 4: Simplify right side
    128,104,416,540x = 71,188,621,877,375,343,263,744
  5. Step 5: Solve for x
    x = 71,188,621,877,375,343,263,744/128,104,416,540
  6. Step 6: Final answer
    x = 555,707,787,444.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.