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Finding the Third Proportional to 10,100,027 and 15,671,089

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Solution

The third proportional to 10,100,027 and 15,671,089 is: 24,315,086.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100,027 : 15,671,089 = 15,671,089 : x
  2. Step 2: Convert to fraction form
    10,100,027/15,671,089 = 15,671,089/x
  3. Step 3: Cross multiply
    10,100,027x = 15,671,089 × 15,671,089
  4. Step 4: Simplify right side
    10,100,027x = 245,583,030,445,921
  5. Step 5: Solve for x
    x = 245,583,030,445,921/10,100,027
  6. Step 6: Final answer
    x = 24,315,086.53

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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.