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Finding the Third Proportional to 4,636,016.50 and 7,091,805.25

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Solution

The third proportional to 4,636,016.50 and 7,091,805.25 is: 10,848,473.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636,016.50 : 7,091,805.25 = 7,091,805.25 : x
  2. Step 2: Convert to fraction form
    4,636,016.50/7,091,805.25 = 7,091,805.25/x
  3. Step 3: Cross multiply
    4,636,016.50x = 7,091,805.25 × 7,091,805.25
  4. Step 4: Simplify right side
    4,636,016.50x = 50,293,701,703,927.56
  5. Step 5: Solve for x
    x = 50,293,701,703,927.56/4,636,016.50
  6. Step 6: Final answer
    x = 10,848,473.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.