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Finding the Third Proportional to 6,297,347 and 13,042,786

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Solution

The third proportional to 6,297,347 and 13,042,786 is: 27,013,640.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297,347 : 13,042,786 = 13,042,786 : x
  2. Step 2: Convert to fraction form
    6,297,347/13,042,786 = 13,042,786/x
  3. Step 3: Cross multiply
    6,297,347x = 13,042,786 × 13,042,786
  4. Step 4: Simplify right side
    6,297,347x = 170,114,266,641,796
  5. Step 5: Solve for x
    x = 170,114,266,641,796/6,297,347
  6. Step 6: Final answer
    x = 27,013,640.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.