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Finding the Third Proportional to 4,981,864.50 and 7,434,352.13

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Solution

The third proportional to 4,981,864.50 and 7,434,352.13 is: 11,094,157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,981,864.50 : 7,434,352.13 = 7,434,352.13 : x
  2. Step 2: Convert to fraction form
    4,981,864.50/7,434,352.13 = 7,434,352.13/x
  3. Step 3: Cross multiply
    4,981,864.50x = 7,434,352.13 × 7,434,352.13
  4. Step 4: Simplify right side
    4,981,864.50x = 55,269,591,518,492.02
  5. Step 5: Solve for x
    x = 55,269,591,518,492.02/4,981,864.50
  6. Step 6: Final answer
    x = 11,094,157.92

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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.