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Finding the Third Proportional to 29,936,736 and 41,709,411

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Solution

The third proportional to 29,936,736 and 41,709,411 is: 58,111,711.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,936,736 : 41,709,411 = 41,709,411 : x
  2. Step 2: Convert to fraction form
    29,936,736/41,709,411 = 41,709,411/x
  3. Step 3: Cross multiply
    29,936,736x = 41,709,411 × 41,709,411
  4. Step 4: Simplify right side
    29,936,736x = 1,739,674,965,966,921
  5. Step 5: Solve for x
    x = 1,739,674,965,966,921/29,936,736
  6. Step 6: Final answer
    x = 58,111,711.51

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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.