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Finding the Third Proportional to 2,655,432,816 and 5,791,436,946

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Solution

The third proportional to 2,655,432,816 and 5,791,436,946 is: 12,630,988,702.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655,432,816 : 5,791,436,946 = 5,791,436,946 : x
  2. Step 2: Convert to fraction form
    2,655,432,816/5,791,436,946 = 5,791,436,946/x
  3. Step 3: Cross multiply
    2,655,432,816x = 5,791,436,946 × 5,791,436,946
  4. Step 4: Simplify right side
    2,655,432,816x = 33,540,741,899,493,806,080
  5. Step 5: Solve for x
    x = 33,540,741,899,493,806,080/2,655,432,816
  6. Step 6: Final answer
    x = 12,630,988,702.63

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Why These Related Problems?

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