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Finding the Third Proportional to 503,847,191,848 and 1,110,394,486,026

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Solution

The third proportional to 503,847,191,848 and 1,110,394,486,026 is: 2,447,122,727,973.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,847,191,848 : 1,110,394,486,026 = 1,110,394,486,026 : x
  2. Step 2: Convert to fraction form
    503,847,191,848/1,110,394,486,026 = 1,110,394,486,026/x
  3. Step 3: Cross multiply
    503,847,191,848x = 1,110,394,486,026 × 1,110,394,486,026
  4. Step 4: Simplify right side
    503,847,191,848x = 1,232,975,914,596,944,811,393,024
  5. Step 5: Solve for x
    x = 1,232,975,914,596,944,811,393,024/503,847,191,848
  6. Step 6: Final answer
    x = 2,447,122,727,973.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.