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Finding the Third Proportional to 2,863,252.13 and 6,136,369.31

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Solution

The third proportional to 2,863,252.13 and 6,136,369.31 is: 13,151,139.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863,252.13 : 6,136,369.31 = 6,136,369.31 : x
  2. Step 2: Convert to fraction form
    2,863,252.13/6,136,369.31 = 6,136,369.31/x
  3. Step 3: Cross multiply
    2,863,252.13x = 6,136,369.31 × 6,136,369.31
  4. Step 4: Simplify right side
    2,863,252.13x = 37,655,028,339,391.72
  5. Step 5: Solve for x
    x = 37,655,028,339,391.72/2,863,252.13
  6. Step 6: Final answer
    x = 13,151,139.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.