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Finding the Third Proportional to 612,069,576.75 and 1,328,056,620

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Solution

The third proportional to 612,069,576.75 and 1,328,056,620 is: 2,881,591,330.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,069,576.75 : 1,328,056,620 = 1,328,056,620 : x
  2. Step 2: Convert to fraction form
    612,069,576.75/1,328,056,620 = 1,328,056,620/x
  3. Step 3: Cross multiply
    612,069,576.75x = 1,328,056,620 × 1,328,056,620
  4. Step 4: Simplify right side
    612,069,576.75x = 1,763,734,385,925,824,512
  5. Step 5: Solve for x
    x = 1,763,734,385,925,824,512/612,069,576.75
  6. Step 6: Final answer
    x = 2,881,591,330.34

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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.