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Finding the Third Proportional to 15,146,001 and 33,320,025

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Solution

The third proportional to 15,146,001 and 33,320,025 is: 73,301,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,146,001 : 33,320,025 = 33,320,025 : x
  2. Step 2: Convert to fraction form
    15,146,001/33,320,025 = 33,320,025/x
  3. Step 3: Cross multiply
    15,146,001x = 33,320,025 × 33,320,025
  4. Step 4: Simplify right side
    15,146,001x = 1,110,224,066,000,625
  5. Step 5: Solve for x
    x = 1,110,224,066,000,625/15,146,001
  6. Step 6: Final answer
    x = 73,301,465.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.