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Finding the Third Proportional to 51,988,224 and 112,645,512

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Solution

The third proportional to 51,988,224 and 112,645,512 is: 244,074,723.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,988,224 : 112,645,512 = 112,645,512 : x
  2. Step 2: Convert to fraction form
    51,988,224/112,645,512 = 112,645,512/x
  3. Step 3: Cross multiply
    51,988,224x = 112,645,512 × 112,645,512
  4. Step 4: Simplify right side
    51,988,224x = 12,689,011,373,742,144
  5. Step 5: Solve for x
    x = 12,689,011,373,742,144/51,988,224
  6. Step 6: Final answer
    x = 244,074,723.03

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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.