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Finding the Third Proportional to 10,645,122 and 16,677,228

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Solution

The third proportional to 10,645,122 and 16,677,228 is: 26,127,453.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645,122 : 16,677,228 = 16,677,228 : x
  2. Step 2: Convert to fraction form
    10,645,122/16,677,228 = 16,677,228/x
  3. Step 3: Cross multiply
    10,645,122x = 16,677,228 × 16,677,228
  4. Step 4: Simplify right side
    10,645,122x = 278,129,933,763,984
  5. Step 5: Solve for x
    x = 278,129,933,763,984/10,645,122
  6. Step 6: Final answer
    x = 26,127,453.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.