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Finding the Third Proportional to 33,352,399.50 and 49,832,214.75

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Solution

The third proportional to 33,352,399.50 and 49,832,214.75 is: 74,454,901.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,352,399.50 : 49,832,214.75 = 49,832,214.75 : x
  2. Step 2: Convert to fraction form
    33,352,399.50/49,832,214.75 = 49,832,214.75/x
  3. Step 3: Cross multiply
    33,352,399.50x = 49,832,214.75 × 49,832,214.75
  4. Step 4: Simplify right side
    33,352,399.50x = 2,483,249,626,890,117.50
  5. Step 5: Solve for x
    x = 2,483,249,626,890,117.50/33,352,399.50
  6. Step 6: Final answer
    x = 74,454,901.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.