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Finding the Third Proportional to 10,397,274.75 and 23,185,206

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Solution

The third proportional to 10,397,274.75 and 23,185,206 is: 51,701,411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397,274.75 : 23,185,206 = 23,185,206 : x
  2. Step 2: Convert to fraction form
    10,397,274.75/23,185,206 = 23,185,206/x
  3. Step 3: Cross multiply
    10,397,274.75x = 23,185,206 × 23,185,206
  4. Step 4: Simplify right side
    10,397,274.75x = 537,553,777,262,436
  5. Step 5: Solve for x
    x = 537,553,777,262,436/10,397,274.75
  6. Step 6: Final answer
    x = 51,701,411.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.