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Finding the Third Proportional to 10,100,072 and 15,671,151

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Solution

The third proportional to 10,100,072 and 15,671,151 is: 24,315,170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100,072 : 15,671,151 = 15,671,151 : x
  2. Step 2: Convert to fraction form
    10,100,072/15,671,151 = 15,671,151/x
  3. Step 3: Cross multiply
    10,100,072x = 15,671,151 × 15,671,151
  4. Step 4: Simplify right side
    10,100,072x = 245,584,973,664,801
  5. Step 5: Solve for x
    x = 245,584,973,664,801/10,100,072
  6. Step 6: Final answer
    x = 24,315,170.59

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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.