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Finding the Third Proportional to 7,650,664.50 and 16,164,865

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Solution

The third proportional to 7,650,664.50 and 16,164,865 is: 34,154,269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650,664.50 : 16,164,865 = 16,164,865 : x
  2. Step 2: Convert to fraction form
    7,650,664.50/16,164,865 = 16,164,865/x
  3. Step 3: Cross multiply
    7,650,664.50x = 16,164,865 × 16,164,865
  4. Step 4: Simplify right side
    7,650,664.50x = 261,302,860,468,225
  5. Step 5: Solve for x
    x = 261,302,860,468,225/7,650,664.50
  6. Step 6: Final answer
    x = 34,154,269.93

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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.