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Finding the Third Proportional to 74,651,512 and 106,751,780

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Solution

The third proportional to 74,651,512 and 106,751,780 is: 152,655,213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,651,512 : 106,751,780 = 106,751,780 : x
  2. Step 2: Convert to fraction form
    74,651,512/106,751,780 = 106,751,780/x
  3. Step 3: Cross multiply
    74,651,512x = 106,751,780 × 106,751,780
  4. Step 4: Simplify right side
    74,651,512x = 11,395,942,533,168,400
  5. Step 5: Solve for x
    x = 11,395,942,533,168,400/74,651,512
  6. Step 6: Final answer
    x = 152,655,213.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.