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Finding the Third Proportional to 288,702,288 and 673,661,952

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Solution

The third proportional to 288,702,288 and 673,661,952 is: 1,571,932,209.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,702,288 : 673,661,952 = 673,661,952 : x
  2. Step 2: Convert to fraction form
    288,702,288/673,661,952 = 673,661,952/x
  3. Step 3: Cross multiply
    288,702,288x = 673,661,952 × 673,661,952
  4. Step 4: Simplify right side
    288,702,288x = 453,820,425,572,450,304
  5. Step 5: Solve for x
    x = 453,820,425,572,450,304/288,702,288
  6. Step 6: Final answer
    x = 1,571,932,209.88

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.