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Finding the Third Proportional to 33,377,411.81 and 71,544,763.69

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Solution

The third proportional to 33,377,411.81 and 71,544,763.69 is: 153,356,804.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,377,411.81 : 71,544,763.69 = 71,544,763.69 : x
  2. Step 2: Convert to fraction form
    33,377,411.81/71,544,763.69 = 71,544,763.69/x
  3. Step 3: Cross multiply
    33,377,411.81x = 71,544,763.69 × 71,544,763.69
  4. Step 4: Simplify right side
    33,377,411.81x = 5,118,653,211,100,219
  5. Step 5: Solve for x
    x = 5,118,653,211,100,219/33,377,411.81
  6. Step 6: Final answer
    x = 153,356,804.29

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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.