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Finding the Third Proportional to 6,932,460 and 14,961,006

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Solution

The third proportional to 6,932,460 and 14,961,006 is: 32,287,485.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932,460 : 14,961,006 = 14,961,006 : x
  2. Step 2: Convert to fraction form
    6,932,460/14,961,006 = 14,961,006/x
  3. Step 3: Cross multiply
    6,932,460x = 14,961,006 × 14,961,006
  4. Step 4: Simplify right side
    6,932,460x = 223,831,700,532,036
  5. Step 5: Solve for x
    x = 223,831,700,532,036/6,932,460
  6. Step 6: Final answer
    x = 32,287,485.33

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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.