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Finding the Third Proportional to 29,099,189 and 40,460,097

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Solution

The third proportional to 29,099,189 and 40,460,097 is: 56,256,531.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,099,189 : 40,460,097 = 40,460,097 : x
  2. Step 2: Convert to fraction form
    29,099,189/40,460,097 = 40,460,097/x
  3. Step 3: Cross multiply
    29,099,189x = 40,460,097 × 40,460,097
  4. Step 4: Simplify right side
    29,099,189x = 1,637,019,449,249,409
  5. Step 5: Solve for x
    x = 1,637,019,449,249,409/29,099,189
  6. Step 6: Final answer
    x = 56,256,531.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.