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Finding the Third Proportional to 6,297,421 and 13,042,970

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Solution

The third proportional to 6,297,421 and 13,042,970 is: 27,014,085.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297,421 : 13,042,970 = 13,042,970 : x
  2. Step 2: Convert to fraction form
    6,297,421/13,042,970 = 13,042,970/x
  3. Step 3: Cross multiply
    6,297,421x = 13,042,970 × 13,042,970
  4. Step 4: Simplify right side
    6,297,421x = 170,119,066,420,900
  5. Step 5: Solve for x
    x = 170,119,066,420,900/6,297,421
  6. Step 6: Final answer
    x = 27,014,085.04

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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.