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Finding the Third Proportional to 262,264,968 and 571,993,770

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Solution

The third proportional to 262,264,968 and 571,993,770 is: 1,247,505,053.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,264,968 : 571,993,770 = 571,993,770 : x
  2. Step 2: Convert to fraction form
    262,264,968/571,993,770 = 571,993,770/x
  3. Step 3: Cross multiply
    262,264,968x = 571,993,770 × 571,993,770
  4. Step 4: Simplify right side
    262,264,968x = 327,176,872,918,812,928
  5. Step 5: Solve for x
    x = 327,176,872,918,812,928/262,264,968
  6. Step 6: Final answer
    x = 1,247,505,053.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.