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Finding the Third Proportional to 4,548,045.38 and 6,815,059.88

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Solution

The third proportional to 4,548,045.38 and 6,815,059.88 is: 10,212,088.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548,045.38 : 6,815,059.88 = 6,815,059.88 : x
  2. Step 2: Convert to fraction form
    4,548,045.38/6,815,059.88 = 6,815,059.88/x
  3. Step 3: Cross multiply
    4,548,045.38x = 6,815,059.88 × 6,815,059.88
  4. Step 4: Simplify right side
    4,548,045.38x = 46,445,041,099,835.02
  5. Step 5: Solve for x
    x = 46,445,041,099,835.02/4,548,045.38
  6. Step 6: Final answer
    x = 10,212,088.33

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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.