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Finding the Third Proportional to 64,764,128 and 140,289,952

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Solution

The third proportional to 64,764,128 and 140,289,952 is: 303,891,540.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,764,128 : 140,289,952 = 140,289,952 : x
  2. Step 2: Convert to fraction form
    64,764,128/140,289,952 = 140,289,952/x
  3. Step 3: Cross multiply
    64,764,128x = 140,289,952 × 140,289,952
  4. Step 4: Simplify right side
    64,764,128x = 19,681,270,632,162,304
  5. Step 5: Solve for x
    x = 19,681,270,632,162,304/64,764,128
  6. Step 6: Final answer
    x = 303,891,540.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.