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Finding the Third Proportional to 10,100,067.19 and 15,671,153.53

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Solution

The third proportional to 10,100,067.19 and 15,671,153.53 is: 24,315,190.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100,067.19 : 15,671,153.53 = 15,671,153.53 : x
  2. Step 2: Convert to fraction form
    10,100,067.19/15,671,153.53 = 15,671,153.53/x
  3. Step 3: Cross multiply
    10,100,067.19x = 15,671,153.53 × 15,671,153.53
  4. Step 4: Simplify right side
    10,100,067.19x = 245,585,053,000,009.34
  5. Step 5: Solve for x
    x = 245,585,053,000,009.34/10,100,067.19
  6. Step 6: Final answer
    x = 24,315,190.03

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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.