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Finding the Third Proportional to 10,525,286.81 and 15,745,078.69

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Solution

The third proportional to 10,525,286.81 and 15,745,078.69 is: 23,553,515.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525,286.81 : 15,745,078.69 = 15,745,078.69 : x
  2. Step 2: Convert to fraction form
    10,525,286.81/15,745,078.69 = 15,745,078.69/x
  3. Step 3: Cross multiply
    10,525,286.81x = 15,745,078.69 × 15,745,078.69
  4. Step 4: Simplify right side
    10,525,286.81x = 247,907,502,875,566.72
  5. Step 5: Solve for x
    x = 247,907,502,875,566.72/10,525,286.81
  6. Step 6: Final answer
    x = 23,553,515.20

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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.