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Finding the Third Proportional to 6,502,780 and 14,292,722

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Solution

The third proportional to 6,502,780 and 14,292,722 is: 31,414,549.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502,780 : 14,292,722 = 14,292,722 : x
  2. Step 2: Convert to fraction form
    6,502,780/14,292,722 = 14,292,722/x
  3. Step 3: Cross multiply
    6,502,780x = 14,292,722 × 14,292,722
  4. Step 4: Simplify right side
    6,502,780x = 204,281,902,169,284
  5. Step 5: Solve for x
    x = 204,281,902,169,284/6,502,780
  6. Step 6: Final answer
    x = 31,414,549.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.