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Finding the Third Proportional to 4,832,407.69 and 10,421,016.19

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Solution

The third proportional to 4,832,407.69 and 10,421,016.19 is: 22,472,768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832,407.69 : 10,421,016.19 = 10,421,016.19 : x
  2. Step 2: Convert to fraction form
    4,832,407.69/10,421,016.19 = 10,421,016.19/x
  3. Step 3: Cross multiply
    4,832,407.69x = 10,421,016.19 × 10,421,016.19
  4. Step 4: Simplify right side
    4,832,407.69x = 108,597,578,380,137.03
  5. Step 5: Solve for x
    x = 108,597,578,380,137.03/4,832,407.69
  6. Step 6: Final answer
    x = 22,472,768.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.