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Finding the Third Proportional to 35,299,479 and 76,270,969.50

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Solution

The third proportional to 35,299,479 and 76,270,969.50 is: 164,797,355.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,299,479 : 76,270,969.50 = 76,270,969.50 : x
  2. Step 2: Convert to fraction form
    35,299,479/76,270,969.50 = 76,270,969.50/x
  3. Step 3: Cross multiply
    35,299,479x = 76,270,969.50 × 76,270,969.50
  4. Step 4: Simplify right side
    35,299,479x = 5,817,260,788,469,930
  5. Step 5: Solve for x
    x = 5,817,260,788,469,930/35,299,479
  6. Step 6: Final answer
    x = 164,797,355.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.