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Finding the Third Proportional to 30,536,583 and 66,560,097

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Solution

The third proportional to 30,536,583 and 66,560,097 is: 145,079,968.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,536,583 : 66,560,097 = 66,560,097 : x
  2. Step 2: Convert to fraction form
    30,536,583/66,560,097 = 66,560,097/x
  3. Step 3: Cross multiply
    30,536,583x = 66,560,097 × 66,560,097
  4. Step 4: Simplify right side
    30,536,583x = 4,430,246,512,649,409
  5. Step 5: Solve for x
    x = 4,430,246,512,649,409/30,536,583
  6. Step 6: Final answer
    x = 145,079,968.92

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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.