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Finding the Third Proportional to 6,902,215.50 and 10,496,724

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Solution

The third proportional to 6,902,215.50 and 10,496,724 is: 15,963,166.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902,215.50 : 10,496,724 = 10,496,724 : x
  2. Step 2: Convert to fraction form
    6,902,215.50/10,496,724 = 10,496,724/x
  3. Step 3: Cross multiply
    6,902,215.50x = 10,496,724 × 10,496,724
  4. Step 4: Simplify right side
    6,902,215.50x = 110,181,214,732,176
  5. Step 5: Solve for x
    x = 110,181,214,732,176/6,902,215.50
  6. Step 6: Final answer
    x = 15,963,166.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.