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Finding the Third Proportional to 471,786,798 and 738,481,638

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Solution

The third proportional to 471,786,798 and 738,481,638 is: 1,155,935,545.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,786,798 : 738,481,638 = 738,481,638 : x
  2. Step 2: Convert to fraction form
    471,786,798/738,481,638 = 738,481,638/x
  3. Step 3: Cross multiply
    471,786,798x = 738,481,638 × 738,481,638
  4. Step 4: Simplify right side
    471,786,798x = 545,355,129,663,163,072
  5. Step 5: Solve for x
    x = 545,355,129,663,163,072/471,786,798
  6. Step 6: Final answer
    x = 1,155,935,545.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.