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Finding the Third Proportional to 7,750,822 and 18,103,655

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Solution

The third proportional to 7,750,822 and 18,103,655 is: 42,284,847.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750,822 : 18,103,655 = 18,103,655 : x
  2. Step 2: Convert to fraction form
    7,750,822/18,103,655 = 18,103,655/x
  3. Step 3: Cross multiply
    7,750,822x = 18,103,655 × 18,103,655
  4. Step 4: Simplify right side
    7,750,822x = 327,742,324,359,025
  5. Step 5: Solve for x
    x = 327,742,324,359,025/7,750,822
  6. Step 6: Final answer
    x = 42,284,847.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.