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Finding the Third Proportional to 411,493,734 and 626,887,638

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Solution

The third proportional to 411,493,734 and 626,887,638 is: 955,028,177.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,493,734 : 626,887,638 = 626,887,638 : x
  2. Step 2: Convert to fraction form
    411,493,734/626,887,638 = 626,887,638/x
  3. Step 3: Cross multiply
    411,493,734x = 626,887,638 × 626,887,638
  4. Step 4: Simplify right side
    411,493,734x = 392,988,110,677,219,072
  5. Step 5: Solve for x
    x = 392,988,110,677,219,072/411,493,734
  6. Step 6: Final answer
    x = 955,028,177.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.