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Finding the Third Proportional to 7,205,108 and 15,689,510

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Solution

The third proportional to 7,205,108 and 15,689,510 is: 34,164,751.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205,108 : 15,689,510 = 15,689,510 : x
  2. Step 2: Convert to fraction form
    7,205,108/15,689,510 = 15,689,510/x
  3. Step 3: Cross multiply
    7,205,108x = 15,689,510 × 15,689,510
  4. Step 4: Simplify right side
    7,205,108x = 246,160,724,040,100
  5. Step 5: Solve for x
    x = 246,160,724,040,100/7,205,108
  6. Step 6: Final answer
    x = 34,164,751.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.