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Finding the Third Proportional to 8,206,029 and 18,995,492.25

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Solution

The third proportional to 8,206,029 and 18,995,492.25 is: 43,971,173.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206,029 : 18,995,492.25 = 18,995,492.25 : x
  2. Step 2: Convert to fraction form
    8,206,029/18,995,492.25 = 18,995,492.25/x
  3. Step 3: Cross multiply
    8,206,029x = 18,995,492.25 × 18,995,492.25
  4. Step 4: Simplify right side
    8,206,029x = 360,828,725,819,810.06
  5. Step 5: Solve for x
    x = 360,828,725,819,810.06/8,206,029
  6. Step 6: Final answer
    x = 43,971,173.61

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.