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Finding the Third Proportional to 7,138,966 and 10,724,275

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Solution

The third proportional to 7,138,966 and 10,724,275 is: 16,110,186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138,966 : 10,724,275 = 10,724,275 : x
  2. Step 2: Convert to fraction form
    7,138,966/10,724,275 = 10,724,275/x
  3. Step 3: Cross multiply
    7,138,966x = 10,724,275 × 10,724,275
  4. Step 4: Simplify right side
    7,138,966x = 115,010,074,275,625
  5. Step 5: Solve for x
    x = 115,010,074,275,625/7,138,966
  6. Step 6: Final answer
    x = 16,110,186.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.