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Finding the Third Proportional to 6,789,117 and 14,641,116

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Solution

The third proportional to 6,789,117 and 14,641,116 is: 31,574,397.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789,117 : 14,641,116 = 14,641,116 : x
  2. Step 2: Convert to fraction form
    6,789,117/14,641,116 = 14,641,116/x
  3. Step 3: Cross multiply
    6,789,117x = 14,641,116 × 14,641,116
  4. Step 4: Simplify right side
    6,789,117x = 214,362,277,725,456
  5. Step 5: Solve for x
    x = 214,362,277,725,456/6,789,117
  6. Step 6: Final answer
    x = 31,574,397.34

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