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Finding the Third Proportional to 960,359,274.75 and 2,223,093,304.88

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Solution

The third proportional to 960,359,274.75 and 2,223,093,304.88 is: 5,146,140,587.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,359,274.75 : 2,223,093,304.88 = 2,223,093,304.88 : x
  2. Step 2: Convert to fraction form
    960,359,274.75/2,223,093,304.88 = 2,223,093,304.88/x
  3. Step 3: Cross multiply
    960,359,274.75x = 2,223,093,304.88 × 2,223,093,304.88
  4. Step 4: Simplify right side
    960,359,274.75x = 4,942,143,842,180,049,920
  5. Step 5: Solve for x
    x = 4,942,143,842,180,049,920/960,359,274.75
  6. Step 6: Final answer
    x = 5,146,140,587.30

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