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Finding the Third Proportional to 52,646,548.50 and 82,156,943.25

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Solution

The third proportional to 52,646,548.50 and 82,156,943.25 is: 128,209,037.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,646,548.50 : 82,156,943.25 = 82,156,943.25 : x
  2. Step 2: Convert to fraction form
    52,646,548.50/82,156,943.25 = 82,156,943.25/x
  3. Step 3: Cross multiply
    52,646,548.50x = 82,156,943.25 × 82,156,943.25
  4. Step 4: Simplify right side
    52,646,548.50x = 6,749,763,324,183,721
  5. Step 5: Solve for x
    x = 6,749,763,324,183,721/52,646,548.50
  6. Step 6: Final answer
    x = 128,209,037.75

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.