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Finding the Third Proportional to 15,842,913.75 and 33,388,099.50

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Solution

The third proportional to 15,842,913.75 and 33,388,099.50 is: 70,363,646.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842,913.75 : 33,388,099.50 = 33,388,099.50 : x
  2. Step 2: Convert to fraction form
    15,842,913.75/33,388,099.50 = 33,388,099.50/x
  3. Step 3: Cross multiply
    15,842,913.75x = 33,388,099.50 × 33,388,099.50
  4. Step 4: Simplify right side
    15,842,913.75x = 1,114,765,188,221,900.25
  5. Step 5: Solve for x
    x = 1,114,765,188,221,900.25/15,842,913.75
  6. Step 6: Final answer
    x = 70,363,646.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.