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Finding the Third Proportional to 4,732,934 and 6,768,151

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Solution

The third proportional to 4,732,934 and 6,768,151 is: 9,678,535.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732,934 : 6,768,151 = 6,768,151 : x
  2. Step 2: Convert to fraction form
    4,732,934/6,768,151 = 6,768,151/x
  3. Step 3: Cross multiply
    4,732,934x = 6,768,151 × 6,768,151
  4. Step 4: Simplify right side
    4,732,934x = 45,807,867,958,801
  5. Step 5: Solve for x
    x = 45,807,867,958,801/4,732,934
  6. Step 6: Final answer
    x = 9,678,535.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.