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Finding the Third Proportional to 29,102,375.25 and 45,652,970.25

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Solution

The third proportional to 29,102,375.25 and 45,652,970.25 is: 71,615,930.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,102,375.25 : 45,652,970.25 = 45,652,970.25 : x
  2. Step 2: Convert to fraction form
    29,102,375.25/45,652,970.25 = 45,652,970.25/x
  3. Step 3: Cross multiply
    29,102,375.25x = 45,652,970.25 × 45,652,970.25
  4. Step 4: Simplify right side
    29,102,375.25x = 2,084,193,692,647,385
  5. Step 5: Solve for x
    x = 2,084,193,692,647,385/29,102,375.25
  6. Step 6: Final answer
    x = 71,615,930.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.