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Finding the Third Proportional to 47,542,509 and 71,427,325.50

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Solution

The third proportional to 47,542,509 and 71,427,325.50 is: 107,311,602.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,542,509 : 71,427,325.50 = 71,427,325.50 : x
  2. Step 2: Convert to fraction form
    47,542,509/71,427,325.50 = 71,427,325.50/x
  3. Step 3: Cross multiply
    47,542,509x = 71,427,325.50 × 71,427,325.50
  4. Step 4: Simplify right side
    47,542,509x = 5,101,862,828,082,950
  5. Step 5: Solve for x
    x = 5,101,862,828,082,950/47,542,509
  6. Step 6: Final answer
    x = 107,311,602.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.