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Finding the Third Proportional to 29,493,409 and 45,138,242

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Solution

The third proportional to 29,493,409 and 45,138,242 is: 69,081,905.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,493,409 : 45,138,242 = 45,138,242 : x
  2. Step 2: Convert to fraction form
    29,493,409/45,138,242 = 45,138,242/x
  3. Step 3: Cross multiply
    29,493,409x = 45,138,242 × 45,138,242
  4. Step 4: Simplify right side
    29,493,409x = 2,037,460,890,850,564
  5. Step 5: Solve for x
    x = 2,037,460,890,850,564/29,493,409
  6. Step 6: Final answer
    x = 69,081,905.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.