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Finding the Third Proportional to 3,880,586.81 and 8,163,397.69

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Solution

The third proportional to 3,880,586.81 and 8,163,397.69 is: 17,172,934.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880,586.81 : 8,163,397.69 = 8,163,397.69 : x
  2. Step 2: Convert to fraction form
    3,880,586.81/8,163,397.69 = 8,163,397.69/x
  3. Step 3: Cross multiply
    3,880,586.81x = 8,163,397.69 × 8,163,397.69
  4. Step 4: Simplify right side
    3,880,586.81x = 66,641,061,804,280.34
  5. Step 5: Solve for x
    x = 66,641,061,804,280.34/3,880,586.81
  6. Step 6: Final answer
    x = 17,172,934.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.