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Finding the Third Proportional to 5,109,059 and 8,514,737

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Solution

The third proportional to 5,109,059 and 8,514,737 is: 14,190,626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109,059 : 8,514,737 = 8,514,737 : x
  2. Step 2: Convert to fraction form
    5,109,059/8,514,737 = 8,514,737/x
  3. Step 3: Cross multiply
    5,109,059x = 8,514,737 × 8,514,737
  4. Step 4: Simplify right side
    5,109,059x = 72,500,746,179,169
  5. Step 5: Solve for x
    x = 72,500,746,179,169/5,109,059
  6. Step 6: Final answer
    x = 14,190,626.14

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.