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Finding the Third Proportional to 411,918,204 and 621,707,984

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Solution

The third proportional to 411,918,204 and 621,707,984 is: 938,343,616.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,918,204 : 621,707,984 = 621,707,984 : x
  2. Step 2: Convert to fraction form
    411,918,204/621,707,984 = 621,707,984/x
  3. Step 3: Cross multiply
    411,918,204x = 621,707,984 × 621,707,984
  4. Step 4: Simplify right side
    411,918,204x = 386,520,817,369,344,256
  5. Step 5: Solve for x
    x = 386,520,817,369,344,256/411,918,204
  6. Step 6: Final answer
    x = 938,343,616.81

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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.