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Finding the Third Proportional to 34,213,333.50 and 70,850,751.75

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Solution

The third proportional to 34,213,333.50 and 70,850,751.75 is: 146,721,424.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,213,333.50 : 70,850,751.75 = 70,850,751.75 : x
  2. Step 2: Convert to fraction form
    34,213,333.50/70,850,751.75 = 70,850,751.75/x
  3. Step 3: Cross multiply
    34,213,333.50x = 70,850,751.75 × 70,850,751.75
  4. Step 4: Simplify right side
    34,213,333.50x = 5,019,829,023,540,128
  5. Step 5: Solve for x
    x = 5,019,829,023,540,128/34,213,333.50
  6. Step 6: Final answer
    x = 146,721,424.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.