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Finding the Third Proportional to 29,082,289 and 45,031,946

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Solution

The third proportional to 29,082,289 and 45,031,946 is: 69,728,904.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,082,289 : 45,031,946 = 45,031,946 : x
  2. Step 2: Convert to fraction form
    29,082,289/45,031,946 = 45,031,946/x
  3. Step 3: Cross multiply
    29,082,289x = 45,031,946 × 45,031,946
  4. Step 4: Simplify right side
    29,082,289x = 2,027,876,160,546,916
  5. Step 5: Solve for x
    x = 2,027,876,160,546,916/29,082,289
  6. Step 6: Final answer
    x = 69,728,904.78

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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.