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Finding the Third Proportional to 57,352,689 and 87,674,835

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Solution

The third proportional to 57,352,689 and 87,674,835 is: 134,028,182.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,352,689 : 87,674,835 = 87,674,835 : x
  2. Step 2: Convert to fraction form
    57,352,689/87,674,835 = 87,674,835/x
  3. Step 3: Cross multiply
    57,352,689x = 87,674,835 × 87,674,835
  4. Step 4: Simplify right side
    57,352,689x = 7,686,876,692,277,225
  5. Step 5: Solve for x
    x = 7,686,876,692,277,225/57,352,689
  6. Step 6: Final answer
    x = 134,028,182.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.