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Finding the Third Proportional to 45,674,990 and 100,434,724

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Solution

The third proportional to 45,674,990 and 100,434,724 is: 220,845,889.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,674,990 : 100,434,724 = 100,434,724 : x
  2. Step 2: Convert to fraction form
    45,674,990/100,434,724 = 100,434,724/x
  3. Step 3: Cross multiply
    45,674,990x = 100,434,724 × 100,434,724
  4. Step 4: Simplify right side
    45,674,990x = 10,087,133,784,956,176
  5. Step 5: Solve for x
    x = 10,087,133,784,956,176/45,674,990
  6. Step 6: Final answer
    x = 220,845,889.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.