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Finding the Third Proportional to 4,694,767 and 10,286,203

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Solution

The third proportional to 4,694,767 and 10,286,203 is: 22,537,001.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694,767 : 10,286,203 = 10,286,203 : x
  2. Step 2: Convert to fraction form
    4,694,767/10,286,203 = 10,286,203/x
  3. Step 3: Cross multiply
    4,694,767x = 10,286,203 × 10,286,203
  4. Step 4: Simplify right side
    4,694,767x = 105,805,972,157,209
  5. Step 5: Solve for x
    x = 105,805,972,157,209/4,694,767
  6. Step 6: Final answer
    x = 22,537,001.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.