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Finding the Third Proportional to 266,825,722,008 and 406,490,530,712

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Solution

The third proportional to 266,825,722,008 and 406,490,530,712 is: 619,260,205,931.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,825,722,008 : 406,490,530,712 = 406,490,530,712 : x
  2. Step 2: Convert to fraction form
    266,825,722,008/406,490,530,712 = 406,490,530,712/x
  3. Step 3: Cross multiply
    266,825,722,008x = 406,490,530,712 × 406,490,530,712
  4. Step 4: Simplify right side
    266,825,722,008x = 165,234,551,558,523,423,031,296
  5. Step 5: Solve for x
    x = 165,234,551,558,523,423,031,296/266,825,722,008
  6. Step 6: Final answer
    x = 619,260,205,931.61

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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.