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Finding the Third Proportional to 10,100,018 and 15,671,075

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Solution

The third proportional to 10,100,018 and 15,671,075 is: 24,315,064.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100,018 : 15,671,075 = 15,671,075 : x
  2. Step 2: Convert to fraction form
    10,100,018/15,671,075 = 15,671,075/x
  3. Step 3: Cross multiply
    10,100,018x = 15,671,075 × 15,671,075
  4. Step 4: Simplify right side
    10,100,018x = 245,582,591,655,625
  5. Step 5: Solve for x
    x = 245,582,591,655,625/10,100,018
  6. Step 6: Final answer
    x = 24,315,064.75

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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.