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Finding the Third Proportional to 4,516,416.98 and 6,438,311.58

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Solution

The third proportional to 4,516,416.98 and 6,438,311.58 is: 9,178,040.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516,416.98 : 6,438,311.58 = 6,438,311.58 : x
  2. Step 2: Convert to fraction form
    4,516,416.98/6,438,311.58 = 6,438,311.58/x
  3. Step 3: Cross multiply
    4,516,416.98x = 6,438,311.58 × 6,438,311.58
  4. Step 4: Simplify right side
    4,516,416.98x = 41,451,855,977,015.85
  5. Step 5: Solve for x
    x = 41,451,855,977,015.85/4,516,416.98
  6. Step 6: Final answer
    x = 9,178,040.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.