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Finding the Third Proportional to 29,829,530 and 46,063,029

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Solution

The third proportional to 29,829,530 and 46,063,029 is: 71,130,944.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,829,530 : 46,063,029 = 46,063,029 : x
  2. Step 2: Convert to fraction form
    29,829,530/46,063,029 = 46,063,029/x
  3. Step 3: Cross multiply
    29,829,530x = 46,063,029 × 46,063,029
  4. Step 4: Simplify right side
    29,829,530x = 2,121,802,640,654,841
  5. Step 5: Solve for x
    x = 2,121,802,640,654,841/29,829,530
  6. Step 6: Final answer
    x = 71,130,944.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.