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Finding the Third Proportional to 4,206,173 and 9,130,204

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Solution

The third proportional to 4,206,173 and 9,130,204 is: 19,818,639.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206,173 : 9,130,204 = 9,130,204 : x
  2. Step 2: Convert to fraction form
    4,206,173/9,130,204 = 9,130,204/x
  3. Step 3: Cross multiply
    4,206,173x = 9,130,204 × 9,130,204
  4. Step 4: Simplify right side
    4,206,173x = 83,360,625,081,616
  5. Step 5: Solve for x
    x = 83,360,625,081,616/4,206,173
  6. Step 6: Final answer
    x = 19,818,639.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.