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Finding the Third Proportional to 9,639,981 and 14,090,532.75

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Solution

The third proportional to 9,639,981 and 14,090,532.75 is: 20,595,799.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639,981 : 14,090,532.75 = 14,090,532.75 : x
  2. Step 2: Convert to fraction form
    9,639,981/14,090,532.75 = 14,090,532.75/x
  3. Step 3: Cross multiply
    9,639,981x = 14,090,532.75 × 14,090,532.75
  4. Step 4: Simplify right side
    9,639,981x = 198,543,113,178,822.56
  5. Step 5: Solve for x
    x = 198,543,113,178,822.56/9,639,981
  6. Step 6: Final answer
    x = 20,595,799.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.