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Finding the Third Proportional to 6,932,462 and 14,961,010

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Solution

The third proportional to 6,932,462 and 14,961,010 is: 32,287,493.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932,462 : 14,961,010 = 14,961,010 : x
  2. Step 2: Convert to fraction form
    6,932,462/14,961,010 = 14,961,010/x
  3. Step 3: Cross multiply
    6,932,462x = 14,961,010 × 14,961,010
  4. Step 4: Simplify right side
    6,932,462x = 223,831,820,220,100
  5. Step 5: Solve for x
    x = 223,831,820,220,100/6,932,462
  6. Step 6: Final answer
    x = 32,287,493.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.