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Finding the Third Proportional to 10,910,726 and 16,366,089

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Solution

The third proportional to 10,910,726 and 16,366,089 is: 24,549,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,910,726 : 16,366,089 = 16,366,089 : x
  2. Step 2: Convert to fraction form
    10,910,726/16,366,089 = 16,366,089/x
  3. Step 3: Cross multiply
    10,910,726x = 16,366,089 × 16,366,089
  4. Step 4: Simplify right side
    10,910,726x = 267,848,869,155,921
  5. Step 5: Solve for x
    x = 267,848,869,155,921/10,910,726
  6. Step 6: Final answer
    x = 24,549,133.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.