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Finding the Third Proportional to 29,099,181 and 40,460,085

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Solution

The third proportional to 29,099,181 and 40,460,085 is: 56,256,513.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,099,181 : 40,460,085 = 40,460,085 : x
  2. Step 2: Convert to fraction form
    29,099,181/40,460,085 = 40,460,085/x
  3. Step 3: Cross multiply
    29,099,181x = 40,460,085 × 40,460,085
  4. Step 4: Simplify right side
    29,099,181x = 1,637,018,478,207,225
  5. Step 5: Solve for x
    x = 1,637,018,478,207,225/29,099,181
  6. Step 6: Final answer
    x = 56,256,513.82

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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.