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Finding the Third Proportional to 10,177,521 and 21,949,304

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Solution

The third proportional to 10,177,521 and 21,949,304 is: 47,336,865.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,177,521 : 21,949,304 = 21,949,304 : x
  2. Step 2: Convert to fraction form
    10,177,521/21,949,304 = 21,949,304/x
  3. Step 3: Cross multiply
    10,177,521x = 21,949,304 × 21,949,304
  4. Step 4: Simplify right side
    10,177,521x = 481,771,946,084,416
  5. Step 5: Solve for x
    x = 481,771,946,084,416/10,177,521
  6. Step 6: Final answer
    x = 47,336,865.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.