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Finding the Third Proportional to 360,691,622 and 787,791,216

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Solution

The third proportional to 360,691,622 and 787,791,216 is: 1,720,624,938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,691,622 : 787,791,216 = 787,791,216 : x
  2. Step 2: Convert to fraction form
    360,691,622/787,791,216 = 787,791,216/x
  3. Step 3: Cross multiply
    360,691,622x = 787,791,216 × 787,791,216
  4. Step 4: Simplify right side
    360,691,622x = 620,615,000,006,758,656
  5. Step 5: Solve for x
    x = 620,615,000,006,758,656/360,691,622
  6. Step 6: Final answer
    x = 1,720,624,938.74

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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.