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Finding the Third Proportional to 6,833,376 and 14,435,118

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Solution

The third proportional to 6,833,376 and 14,435,118 is: 30,493,365.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833,376 : 14,435,118 = 14,435,118 : x
  2. Step 2: Convert to fraction form
    6,833,376/14,435,118 = 14,435,118/x
  3. Step 3: Cross multiply
    6,833,376x = 14,435,118 × 14,435,118
  4. Step 4: Simplify right side
    6,833,376x = 208,372,631,673,924
  5. Step 5: Solve for x
    x = 208,372,631,673,924/6,833,376
  6. Step 6: Final answer
    x = 30,493,365.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.