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Finding the Third Proportional to 46,615,659 and 73,126,213.50

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Solution

The third proportional to 46,615,659 and 73,126,213.50 is: 114,713,450.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,615,659 : 73,126,213.50 = 73,126,213.50 : x
  2. Step 2: Convert to fraction form
    46,615,659/73,126,213.50 = 73,126,213.50/x
  3. Step 3: Cross multiply
    46,615,659x = 73,126,213.50 × 73,126,213.50
  4. Step 4: Simplify right side
    46,615,659x = 5,347,443,100,847,582
  5. Step 5: Solve for x
    x = 5,347,443,100,847,582/46,615,659
  6. Step 6: Final answer
    x = 114,713,450.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.