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Finding the Third Proportional to 7,984,947.38 and 17,371,154.81

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Solution

The third proportional to 7,984,947.38 and 17,371,154.81 is: 37,790,733.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984,947.38 : 17,371,154.81 = 17,371,154.81 : x
  2. Step 2: Convert to fraction form
    7,984,947.38/17,371,154.81 = 17,371,154.81/x
  3. Step 3: Cross multiply
    7,984,947.38x = 17,371,154.81 × 17,371,154.81
  4. Step 4: Simplify right side
    7,984,947.38x = 301,757,019,519,841.94
  5. Step 5: Solve for x
    x = 301,757,019,519,841.94/7,984,947.38
  6. Step 6: Final answer
    x = 37,790,733.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.