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Finding the Third Proportional to 503,847,179,840 and 1,110,394,461,558

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Solution

The third proportional to 503,847,179,840 and 1,110,394,461,558 is: 2,447,122,678,448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,847,179,840 : 1,110,394,461,558 = 1,110,394,461,558 : x
  2. Step 2: Convert to fraction form
    503,847,179,840/1,110,394,461,558 = 1,110,394,461,558/x
  3. Step 3: Cross multiply
    503,847,179,840x = 1,110,394,461,558 × 1,110,394,461,558
  4. Step 4: Simplify right side
    503,847,179,840x = 1,232,975,860,258,680,734,744,576
  5. Step 5: Solve for x
    x = 1,232,975,860,258,680,734,744,576/503,847,179,840
  6. Step 6: Final answer
    x = 2,447,122,678,448.30

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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.