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Finding the Third Proportional to 33,259,698 and 71,115,804

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Solution

The third proportional to 33,259,698 and 71,115,804 is: 152,059,636.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,259,698 : 71,115,804 = 71,115,804 : x
  2. Step 2: Convert to fraction form
    33,259,698/71,115,804 = 71,115,804/x
  3. Step 3: Cross multiply
    33,259,698x = 71,115,804 × 71,115,804
  4. Step 4: Simplify right side
    33,259,698x = 5,057,457,578,566,416
  5. Step 5: Solve for x
    x = 5,057,457,578,566,416/33,259,698
  6. Step 6: Final answer
    x = 152,059,636.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.