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Finding the Third Proportional to 3,135,714 and 6,869,046

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Solution

The third proportional to 3,135,714 and 6,869,046 is: 15,047,224.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135,714 : 6,869,046 = 6,869,046 : x
  2. Step 2: Convert to fraction form
    3,135,714/6,869,046 = 6,869,046/x
  3. Step 3: Cross multiply
    3,135,714x = 6,869,046 × 6,869,046
  4. Step 4: Simplify right side
    3,135,714x = 47,183,792,950,116
  5. Step 5: Solve for x
    x = 47,183,792,950,116/3,135,714
  6. Step 6: Final answer
    x = 15,047,224.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.