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Finding the Third Proportional to 57,003,744 and 122,078,977.50

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Solution

The third proportional to 57,003,744 and 122,078,977.50 is: 261,443,822.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,003,744 : 122,078,977.50 = 122,078,977.50 : x
  2. Step 2: Convert to fraction form
    57,003,744/122,078,977.50 = 122,078,977.50/x
  3. Step 3: Cross multiply
    57,003,744x = 122,078,977.50 × 122,078,977.50
  4. Step 4: Simplify right side
    57,003,744x = 14,903,276,747,445,506
  5. Step 5: Solve for x
    x = 14,903,276,747,445,506/57,003,744
  6. Step 6: Final answer
    x = 261,443,822.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.