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Finding the Third Proportional to 25,679,685,789 and 52,081,425,954

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Solution

The third proportional to 25,679,685,789 and 52,081,425,954 is: 105,627,263,187.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,679,685,789 : 52,081,425,954 = 52,081,425,954 : x
  2. Step 2: Convert to fraction form
    25,679,685,789/52,081,425,954 = 52,081,425,954/x
  3. Step 3: Cross multiply
    25,679,685,789x = 52,081,425,954 × 52,081,425,954
  4. Step 4: Simplify right side
    25,679,685,789x = 2,712,474,929,401,984,712,704
  5. Step 5: Solve for x
    x = 2,712,474,929,401,984,712,704/25,679,685,789
  6. Step 6: Final answer
    x = 105,627,263,187.30

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.