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Finding the Third Proportional to 6,898,726 and 14,512,510

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Solution

The third proportional to 6,898,726 and 14,512,510 is: 30,529,252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898,726 : 14,512,510 = 14,512,510 : x
  2. Step 2: Convert to fraction form
    6,898,726/14,512,510 = 14,512,510/x
  3. Step 3: Cross multiply
    6,898,726x = 14,512,510 × 14,512,510
  4. Step 4: Simplify right side
    6,898,726x = 210,612,946,500,100
  5. Step 5: Solve for x
    x = 210,612,946,500,100/6,898,726
  6. Step 6: Final answer
    x = 30,529,252.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.