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Finding the Third Proportional to 51,396,106 and 112,210,432

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Solution

The third proportional to 51,396,106 and 112,210,432 is: 244,983,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,396,106 : 112,210,432 = 112,210,432 : x
  2. Step 2: Convert to fraction form
    51,396,106/112,210,432 = 112,210,432/x
  3. Step 3: Cross multiply
    51,396,106x = 112,210,432 × 112,210,432
  4. Step 4: Simplify right side
    51,396,106x = 12,591,181,049,626,624
  5. Step 5: Solve for x
    x = 12,591,181,049,626,624/51,396,106
  6. Step 6: Final answer
    x = 244,983,171.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.