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Finding the Third Proportional to 33,784,788 and 73,762,341

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Solution

The third proportional to 33,784,788 and 73,762,341 is: 161,045,348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,784,788 : 73,762,341 = 73,762,341 : x
  2. Step 2: Convert to fraction form
    33,784,788/73,762,341 = 73,762,341/x
  3. Step 3: Cross multiply
    33,784,788x = 73,762,341 × 73,762,341
  4. Step 4: Simplify right side
    33,784,788x = 5,440,882,949,800,281
  5. Step 5: Solve for x
    x = 5,440,882,949,800,281/33,784,788
  6. Step 6: Final answer
    x = 161,045,348.27

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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.