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Finding the Third Proportional to 231,526,229,008 and 501,516,031,835

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Solution

The third proportional to 231,526,229,008 and 501,516,031,835 is: 1,086,349,184,993.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,526,229,008 : 501,516,031,835 = 501,516,031,835 : x
  2. Step 2: Convert to fraction form
    231,526,229,008/501,516,031,835 = 501,516,031,835/x
  3. Step 3: Cross multiply
    231,526,229,008x = 501,516,031,835 × 501,516,031,835
  4. Step 4: Simplify right side
    231,526,229,008x = 251,518,330,187,524,729,733,120
  5. Step 5: Solve for x
    x = 251,518,330,187,524,729,733,120/231,526,229,008
  6. Step 6: Final answer
    x = 1,086,349,184,993.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.