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Finding the Third Proportional to 1,851,040,397 and 4,003,997,402

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Solution

The third proportional to 1,851,040,397 and 4,003,997,402 is: 8,661,072,562.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851,040,397 : 4,003,997,402 = 4,003,997,402 : x
  2. Step 2: Convert to fraction form
    1,851,040,397/4,003,997,402 = 4,003,997,402/x
  3. Step 3: Cross multiply
    1,851,040,397x = 4,003,997,402 × 4,003,997,402
  4. Step 4: Simplify right side
    1,851,040,397x = 16,031,995,195,222,749,184
  5. Step 5: Solve for x
    x = 16,031,995,195,222,749,184/1,851,040,397
  6. Step 6: Final answer
    x = 8,661,072,562.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.