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Finding the Third Proportional to 603,825,288 and 1,316,960,128

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Solution

The third proportional to 603,825,288 and 1,316,960,128 is: 2,872,327,498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,825,288 : 1,316,960,128 = 1,316,960,128 : x
  2. Step 2: Convert to fraction form
    603,825,288/1,316,960,128 = 1,316,960,128/x
  3. Step 3: Cross multiply
    603,825,288x = 1,316,960,128 × 1,316,960,128
  4. Step 4: Simplify right side
    603,825,288x = 1,734,383,978,741,776,384
  5. Step 5: Solve for x
    x = 1,734,383,978,741,776,384/603,825,288
  6. Step 6: Final answer
    x = 2,872,327,498.05

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