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Finding the Third Proportional to 69,907,996 and 108,542,634

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Solution

The third proportional to 69,907,996 and 108,542,634 is: 168,528,695.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,907,996 : 108,542,634 = 108,542,634 : x
  2. Step 2: Convert to fraction form
    69,907,996/108,542,634 = 108,542,634/x
  3. Step 3: Cross multiply
    69,907,996x = 108,542,634 × 108,542,634
  4. Step 4: Simplify right side
    69,907,996x = 11,781,503,395,657,956
  5. Step 5: Solve for x
    x = 11,781,503,395,657,956/69,907,996
  6. Step 6: Final answer
    x = 168,528,695.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.