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Finding the Third Proportional to 266,825,721,998 and 406,490,530,697

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Solution

The third proportional to 266,825,721,998 and 406,490,530,697 is: 619,260,205,909.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,825,721,998 : 406,490,530,697 = 406,490,530,697 : x
  2. Step 2: Convert to fraction form
    266,825,721,998/406,490,530,697 = 406,490,530,697/x
  3. Step 3: Cross multiply
    266,825,721,998x = 406,490,530,697 × 406,490,530,697
  4. Step 4: Simplify right side
    266,825,721,998x = 165,234,551,546,328,702,255,104
  5. Step 5: Solve for x
    x = 165,234,551,546,328,702,255,104/266,825,721,998
  6. Step 6: Final answer
    x = 619,260,205,909.11

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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.