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Finding the Third Proportional to 7,841,210 and 16,883,848

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Solution

The third proportional to 7,841,210 and 16,883,848 is: 36,354,634.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841,210 : 16,883,848 = 16,883,848 : x
  2. Step 2: Convert to fraction form
    7,841,210/16,883,848 = 16,883,848/x
  3. Step 3: Cross multiply
    7,841,210x = 16,883,848 × 16,883,848
  4. Step 4: Simplify right side
    7,841,210x = 285,064,323,287,104
  5. Step 5: Solve for x
    x = 285,064,323,287,104/7,841,210
  6. Step 6: Final answer
    x = 36,354,634.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.