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Finding the Third Proportional to 33,404,899.50 and 69,864,124

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Solution

The third proportional to 33,404,899.50 and 69,864,124 is: 146,116,165.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,404,899.50 : 69,864,124 = 69,864,124 : x
  2. Step 2: Convert to fraction form
    33,404,899.50/69,864,124 = 69,864,124/x
  3. Step 3: Cross multiply
    33,404,899.50x = 69,864,124 × 69,864,124
  4. Step 4: Simplify right side
    33,404,899.50x = 4,880,995,822,287,376
  5. Step 5: Solve for x
    x = 4,880,995,822,287,376/33,404,899.50
  6. Step 6: Final answer
    x = 146,116,165.45

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.