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Finding the Third Proportional to 33,513,977 and 72,318,487

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Solution

The third proportional to 33,513,977 and 72,318,487 is: 156,053,206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,513,977 : 72,318,487 = 72,318,487 : x
  2. Step 2: Convert to fraction form
    33,513,977/72,318,487 = 72,318,487/x
  3. Step 3: Cross multiply
    33,513,977x = 72,318,487 × 72,318,487
  4. Step 4: Simplify right side
    33,513,977x = 5,229,963,561,969,169
  5. Step 5: Solve for x
    x = 5,229,963,561,969,169/33,513,977
  6. Step 6: Final answer
    x = 156,053,206.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.