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Finding the Third Proportional to 411,918,108 and 621,707,856

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Solution

The third proportional to 411,918,108 and 621,707,856 is: 938,343,449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,918,108 : 621,707,856 = 621,707,856 : x
  2. Step 2: Convert to fraction form
    411,918,108/621,707,856 = 621,707,856/x
  3. Step 3: Cross multiply
    411,918,108x = 621,707,856 × 621,707,856
  4. Step 4: Simplify right side
    411,918,108x = 386,520,658,212,116,736
  5. Step 5: Solve for x
    x = 386,520,658,212,116,736/411,918,108
  6. Step 6: Final answer
    x = 938,343,449.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.