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Finding the Third Proportional to 10,680,649.50 and 16,527,828

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Solution

The third proportional to 10,680,649.50 and 16,527,828 is: 25,576,075.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,680,649.50 : 16,527,828 = 16,527,828 : x
  2. Step 2: Convert to fraction form
    10,680,649.50/16,527,828 = 16,527,828/x
  3. Step 3: Cross multiply
    10,680,649.50x = 16,527,828 × 16,527,828
  4. Step 4: Simplify right side
    10,680,649.50x = 273,169,098,397,584
  5. Step 5: Solve for x
    x = 273,169,098,397,584/10,680,649.50
  6. Step 6: Final answer
    x = 25,576,075.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.