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Finding the Third Proportional to 11,486,469 and 17,783,572.50

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Solution

The third proportional to 11,486,469 and 17,783,572.50 is: 27,532,869.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486,469 : 17,783,572.50 = 17,783,572.50 : x
  2. Step 2: Convert to fraction form
    11,486,469/17,783,572.50 = 17,783,572.50/x
  3. Step 3: Cross multiply
    11,486,469x = 17,783,572.50 × 17,783,572.50
  4. Step 4: Simplify right side
    11,486,469x = 316,255,450,862,756.25
  5. Step 5: Solve for x
    x = 316,255,450,862,756.25/11,486,469
  6. Step 6: Final answer
    x = 27,532,869.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.