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Finding the Third Proportional to 7,417,987 and 15,633,014

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Solution

The third proportional to 7,417,987 and 15,633,014 is: 32,945,747.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,417,987 : 15,633,014 = 15,633,014 : x
  2. Step 2: Convert to fraction form
    7,417,987/15,633,014 = 15,633,014/x
  3. Step 3: Cross multiply
    7,417,987x = 15,633,014 × 15,633,014
  4. Step 4: Simplify right side
    7,417,987x = 244,391,126,724,196
  5. Step 5: Solve for x
    x = 244,391,126,724,196/7,417,987
  6. Step 6: Final answer
    x = 32,945,747.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.