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Finding the Third Proportional to 12,416,984 and 18,549,012

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Solution

The third proportional to 12,416,984 and 18,549,012 is: 27,709,292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416,984 : 18,549,012 = 18,549,012 : x
  2. Step 2: Convert to fraction form
    12,416,984/18,549,012 = 18,549,012/x
  3. Step 3: Cross multiply
    12,416,984x = 18,549,012 × 18,549,012
  4. Step 4: Simplify right side
    12,416,984x = 344,065,846,176,144
  5. Step 5: Solve for x
    x = 344,065,846,176,144/12,416,984
  6. Step 6: Final answer
    x = 27,709,292.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.