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Finding the Third Proportional to 6,984,570.75 and 10,433,841.75

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Solution

The third proportional to 6,984,570.75 and 10,433,841.75 is: 15,586,505.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984,570.75 : 10,433,841.75 = 10,433,841.75 : x
  2. Step 2: Convert to fraction form
    6,984,570.75/10,433,841.75 = 10,433,841.75/x
  3. Step 3: Cross multiply
    6,984,570.75x = 10,433,841.75 × 10,433,841.75
  4. Step 4: Simplify right side
    6,984,570.75x = 108,865,053,664,043.06
  5. Step 5: Solve for x
    x = 108,865,053,664,043.06/6,984,570.75
  6. Step 6: Final answer
    x = 15,586,505.97

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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.