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Finding the Third Proportional to 13,857,788,649 and 28,450,220,766

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Solution

The third proportional to 13,857,788,649 and 28,450,220,766 is: 58,408,674,149.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857,788,649 : 28,450,220,766 = 28,450,220,766 : x
  2. Step 2: Convert to fraction form
    13,857,788,649/28,450,220,766 = 28,450,220,766/x
  3. Step 3: Cross multiply
    13,857,788,649x = 28,450,220,766 × 28,450,220,766
  4. Step 4: Simplify right side
    13,857,788,649x = 809,415,061,634,137,587,712
  5. Step 5: Solve for x
    x = 809,415,061,634,137,587,712/13,857,788,649
  6. Step 6: Final answer
    x = 58,408,674,149.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.