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Finding the Third Proportional to 6,095,650 and 13,242,114

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Solution

The third proportional to 6,095,650 and 13,242,114 is: 28,767,003.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095,650 : 13,242,114 = 13,242,114 : x
  2. Step 2: Convert to fraction form
    6,095,650/13,242,114 = 13,242,114/x
  3. Step 3: Cross multiply
    6,095,650x = 13,242,114 × 13,242,114
  4. Step 4: Simplify right side
    6,095,650x = 175,353,583,188,996
  5. Step 5: Solve for x
    x = 175,353,583,188,996/6,095,650
  6. Step 6: Final answer
    x = 28,767,003.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.