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Finding the Third Proportional to 19,581,022 and 27,525,709

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Solution

The third proportional to 19,581,022 and 27,525,709 is: 38,693,825.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,581,022 : 27,525,709 = 27,525,709 : x
  2. Step 2: Convert to fraction form
    19,581,022/27,525,709 = 27,525,709/x
  3. Step 3: Cross multiply
    19,581,022x = 27,525,709 × 27,525,709
  4. Step 4: Simplify right side
    19,581,022x = 757,664,655,952,681
  5. Step 5: Solve for x
    x = 757,664,655,952,681/19,581,022
  6. Step 6: Final answer
    x = 38,693,825.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.