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Finding the Third Proportional to 411,918,255 and 621,707,994

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Solution

The third proportional to 411,918,255 and 621,707,994 is: 938,343,530.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,918,255 : 621,707,994 = 621,707,994 : x
  2. Step 2: Convert to fraction form
    411,918,255/621,707,994 = 621,707,994/x
  3. Step 3: Cross multiply
    411,918,255x = 621,707,994 × 621,707,994
  4. Step 4: Simplify right side
    411,918,255x = 386,520,829,803,504,064
  5. Step 5: Solve for x
    x = 386,520,829,803,504,064/411,918,255
  6. Step 6: Final answer
    x = 938,343,530.81

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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.