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Finding the Third Proportional to 6,856,175 and 14,243,789

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Solution

The third proportional to 6,856,175 and 14,243,789 is: 29,591,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856,175 : 14,243,789 = 14,243,789 : x
  2. Step 2: Convert to fraction form
    6,856,175/14,243,789 = 14,243,789/x
  3. Step 3: Cross multiply
    6,856,175x = 14,243,789 × 14,243,789
  4. Step 4: Simplify right side
    6,856,175x = 202,885,525,076,521
  5. Step 5: Solve for x
    x = 202,885,525,076,521/6,856,175
  6. Step 6: Final answer
    x = 29,591,649.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.