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Finding the Third Proportional to 110,780,566 and 256,436,952

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Solution

The third proportional to 110,780,566 and 256,436,952 is: 593,605,112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,780,566 : 256,436,952 = 256,436,952 : x
  2. Step 2: Convert to fraction form
    110,780,566/256,436,952 = 256,436,952/x
  3. Step 3: Cross multiply
    110,780,566x = 256,436,952 × 256,436,952
  4. Step 4: Simplify right side
    110,780,566x = 65,759,910,351,050,304
  5. Step 5: Solve for x
    x = 65,759,910,351,050,304/110,780,566
  6. Step 6: Final answer
    x = 593,605,112.57

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.