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Finding the Third Proportional to 34,077,801.75 and 74,323,671

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Solution

The third proportional to 34,077,801.75 and 74,323,671 is: 162,099,894.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,077,801.75 : 74,323,671 = 74,323,671 : x
  2. Step 2: Convert to fraction form
    34,077,801.75/74,323,671 = 74,323,671/x
  3. Step 3: Cross multiply
    34,077,801.75x = 74,323,671 × 74,323,671
  4. Step 4: Simplify right side
    34,077,801.75x = 5,524,008,070,916,241
  5. Step 5: Solve for x
    x = 5,524,008,070,916,241/34,077,801.75
  6. Step 6: Final answer
    x = 162,099,894.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.