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Finding the Third Proportional to 7,303,944 and 11,354,611

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Solution

The third proportional to 7,303,944 and 11,354,611 is: 17,651,722.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303,944 : 11,354,611 = 11,354,611 : x
  2. Step 2: Convert to fraction form
    7,303,944/11,354,611 = 11,354,611/x
  3. Step 3: Cross multiply
    7,303,944x = 11,354,611 × 11,354,611
  4. Step 4: Simplify right side
    7,303,944x = 128,927,190,961,321
  5. Step 5: Solve for x
    x = 128,927,190,961,321/7,303,944
  6. Step 6: Final answer
    x = 17,651,722.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.