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Finding the Third Proportional to 262,293,981 and 543,158,872

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Solution

The third proportional to 262,293,981 and 543,158,872 is: 1,124,774,419.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,293,981 : 543,158,872 = 543,158,872 : x
  2. Step 2: Convert to fraction form
    262,293,981/543,158,872 = 543,158,872/x
  3. Step 3: Cross multiply
    262,293,981x = 543,158,872 × 543,158,872
  4. Step 4: Simplify right side
    262,293,981x = 295,021,560,232,312,384
  5. Step 5: Solve for x
    x = 295,021,560,232,312,384/262,293,981
  6. Step 6: Final answer
    x = 1,124,774,419.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.