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Finding the Third Proportional to 10,677,102 and 16,546,446

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Solution

The third proportional to 10,677,102 and 16,546,446 is: 25,642,245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677,102 : 16,546,446 = 16,546,446 : x
  2. Step 2: Convert to fraction form
    10,677,102/16,546,446 = 16,546,446/x
  3. Step 3: Cross multiply
    10,677,102x = 16,546,446 × 16,546,446
  4. Step 4: Simplify right side
    10,677,102x = 273,784,875,230,916
  5. Step 5: Solve for x
    x = 273,784,875,230,916/10,677,102
  6. Step 6: Final answer
    x = 25,642,245.92

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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.