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Finding the Third Proportional to 13,643,802 and 20,444,681.25

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Solution

The third proportional to 13,643,802 and 20,444,681.25 is: 30,635,521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643,802 : 20,444,681.25 = 20,444,681.25 : x
  2. Step 2: Convert to fraction form
    13,643,802/20,444,681.25 = 20,444,681.25/x
  3. Step 3: Cross multiply
    13,643,802x = 20,444,681.25 × 20,444,681.25
  4. Step 4: Simplify right side
    13,643,802x = 417,984,991,414,101.56
  5. Step 5: Solve for x
    x = 417,984,991,414,101.56/13,643,802
  6. Step 6: Final answer
    x = 30,635,521.64

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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.