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Finding the Third Proportional to 6,784,941 and 14,632,737

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Solution

The third proportional to 6,784,941 and 14,632,737 is: 31,557,679.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784,941 : 14,632,737 = 14,632,737 : x
  2. Step 2: Convert to fraction form
    6,784,941/14,632,737 = 14,632,737/x
  3. Step 3: Cross multiply
    6,784,941x = 14,632,737 × 14,632,737
  4. Step 4: Simplify right side
    6,784,941x = 214,116,992,111,169
  5. Step 5: Solve for x
    x = 214,116,992,111,169/6,784,941
  6. Step 6: Final answer
    x = 31,557,679.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.