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Finding the Third Proportional to 4,051,594.69 and 6,180,294.94

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Solution

The third proportional to 4,051,594.69 and 6,180,294.94 is: 9,427,410.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051,594.69 : 6,180,294.94 = 6,180,294.94 : x
  2. Step 2: Convert to fraction form
    4,051,594.69/6,180,294.94 = 6,180,294.94/x
  3. Step 3: Cross multiply
    4,051,594.69x = 6,180,294.94 × 6,180,294.94
  4. Step 4: Simplify right side
    4,051,594.69x = 38,196,045,514,488.12
  5. Step 5: Solve for x
    x = 38,196,045,514,488.12/4,051,594.69
  6. Step 6: Final answer
    x = 9,427,410.31

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