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Finding the Third Proportional to 5,147,006.63 and 6,861,868.88

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Solution

The third proportional to 5,147,006.63 and 6,861,868.88 is: 9,148,083.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147,006.63 : 6,861,868.88 = 6,861,868.88 : x
  2. Step 2: Convert to fraction form
    5,147,006.63/6,861,868.88 = 6,861,868.88/x
  3. Step 3: Cross multiply
    5,147,006.63x = 6,861,868.88 × 6,861,868.88
  4. Step 4: Simplify right side
    5,147,006.63x = 47,085,244,457,693.77
  5. Step 5: Solve for x
    x = 47,085,244,457,693.77/5,147,006.63
  6. Step 6: Final answer
    x = 9,148,083.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.