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Finding the Third Proportional to 7,635,289.50 and 16,363,552.50

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Solution

The third proportional to 7,635,289.50 and 16,363,552.50 is: 35,069,508.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635,289.50 : 16,363,552.50 = 16,363,552.50 : x
  2. Step 2: Convert to fraction form
    7,635,289.50/16,363,552.50 = 16,363,552.50/x
  3. Step 3: Cross multiply
    7,635,289.50x = 16,363,552.50 × 16,363,552.50
  4. Step 4: Simplify right side
    7,635,289.50x = 267,765,850,420,256.25
  5. Step 5: Solve for x
    x = 267,765,850,420,256.25/7,635,289.50
  6. Step 6: Final answer
    x = 35,069,508.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.