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Finding the Third Proportional to 5,789,754 and 8,516,207.25

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Solution

The third proportional to 5,789,754 and 8,516,207.25 is: 12,526,574.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789,754 : 8,516,207.25 = 8,516,207.25 : x
  2. Step 2: Convert to fraction form
    5,789,754/8,516,207.25 = 8,516,207.25/x
  3. Step 3: Cross multiply
    5,789,754x = 8,516,207.25 × 8,516,207.25
  4. Step 4: Simplify right side
    5,789,754x = 72,525,785,924,952.56
  5. Step 5: Solve for x
    x = 72,525,785,924,952.56/5,789,754
  6. Step 6: Final answer
    x = 12,526,574.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.