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Finding the Third Proportional to 8,210,711.81 and 11,827,270.69

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Solution

The third proportional to 8,210,711.81 and 11,827,270.69 is: 17,036,809.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210,711.81 : 11,827,270.69 = 11,827,270.69 : x
  2. Step 2: Convert to fraction form
    8,210,711.81/11,827,270.69 = 11,827,270.69/x
  3. Step 3: Cross multiply
    8,210,711.81x = 11,827,270.69 × 11,827,270.69
  4. Step 4: Simplify right side
    8,210,711.81x = 139,884,331,915,396.72
  5. Step 5: Solve for x
    x = 139,884,331,915,396.72/8,210,711.81
  6. Step 6: Final answer
    x = 17,036,809.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.