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Finding the Third Proportional to 6,305,333 and 9,783,297

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Solution

The third proportional to 6,305,333 and 9,783,297 is: 15,179,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305,333 : 9,783,297 = 9,783,297 : x
  2. Step 2: Convert to fraction form
    6,305,333/9,783,297 = 9,783,297/x
  3. Step 3: Cross multiply
    6,305,333x = 9,783,297 × 9,783,297
  4. Step 4: Simplify right side
    6,305,333x = 95,712,900,190,209
  5. Step 5: Solve for x
    x = 95,712,900,190,209/6,305,333
  6. Step 6: Final answer
    x = 15,179,674.13

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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.