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Finding the Third Proportional to 353,729,568 and 761,206,848

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Solution

The third proportional to 353,729,568 and 761,206,848 is: 1,638,075,857.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,729,568 : 761,206,848 = 761,206,848 : x
  2. Step 2: Convert to fraction form
    353,729,568/761,206,848 = 761,206,848/x
  3. Step 3: Cross multiply
    353,729,568x = 761,206,848 × 761,206,848
  4. Step 4: Simplify right side
    353,729,568x = 579,435,865,442,095,104
  5. Step 5: Solve for x
    x = 579,435,865,442,095,104/353,729,568
  6. Step 6: Final answer
    x = 1,638,075,857.55

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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.