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Finding the Third Proportional to 10,100,069 and 15,671,157

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Solution

The third proportional to 10,100,069 and 15,671,157 is: 24,315,196.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100,069 : 15,671,157 = 15,671,157 : x
  2. Step 2: Convert to fraction form
    10,100,069/15,671,157 = 15,671,157/x
  3. Step 3: Cross multiply
    10,100,069x = 15,671,157 × 15,671,157
  4. Step 4: Simplify right side
    10,100,069x = 245,585,161,718,649
  5. Step 5: Solve for x
    x = 245,585,161,718,649/10,100,069
  6. Step 6: Final answer
    x = 24,315,196.43

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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.